International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2016). Vol. A, ch. 3.5, pp. 831-838

Table 3.5.2.3 

E. Koch,a W. Fischera and U. Müllerb

Table 3.5.2.3| top | pdf |
Euclidean and chirality-preserving Euclidean normalizers of the monoclinic space groups

For the restrictions of the cell metric see text and Figs. 3.5.2.1[link] to 3.5.2.4[link]. The symbols in parentheses following a space-group symbol refer to the location of the origin (`origin choice' in Chapter 2.3[link] ).

Space group [\cal G]Euclidean normalizer [\cal N_E(G)] and chirality-preserving normalizer [\cal N_{E^+}(G)]Additional generators of [\cal N_E(G)] and [\cal N_{E^+}(G)]Index of [\cal G] in [\cal N_E(G)] or [\cal N_{E^+}(G)]
No.Hermann–Mauguin symbolCell metricSymbolBasis vectorsTranslationsInversion through a centre atFurther generators
3 [P121] General [P^112/m1] [{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1 \over 2}} ,0,0;\, 0,s,0;\, 0,0,{\textstyle{1 \over 2}}] [0,0,0]   [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1121] [{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1 \over 2}} ,0,0;\, 0,s,0;\, 0,0,{\textstyle{1 \over 2}}] [/]   [(4\!\cdot\!\infty)\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z] [(4\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [\bar x,\bar y,z] [(4\!\cdot\! \infty)\!\cdot\! 2]
    [2\cos\beta\!=\!-c/a,\, 90^\circ\lt \beta\lt 120^\circ] [B^1mmm] [{{\bf a}}\!+\!{\textstyle{1 \over 2}}{{\bf c}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [x,y,x\!-\!z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{{\cal N_{E^+}(G)}}\!\!:\, B^1222] [{{\bf a}}\!+\!{\textstyle{1 \over 2}}{{\bf c}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [x,\bar y,x\!-\!z] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [a \!=\! c,\,90^\circ\lt \beta\lt 120^\circ] [B^1mmm] [{\textstyle{1\over 2}}({{\bf a}}\!+\! {{\bf c}}),\varepsilon{{\bf b}},{\textstyle{1\over 2}}(-{{\bf a}}\!+\!{{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [z,y,x] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{{\cal N_{E^+}(G)}}\!\!:\, B^1222] [{\textstyle{1\over 2}}({{\bf a}}\!+\! {{\bf c}}),\varepsilon{{\bf b}},{\textstyle{1\over 2}}(-{{\bf a}}\!+\!{{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [z,\bar y,x] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\!90^\circ] [P^14/mmm] [{\textstyle{1 \over 2}}{{\bf c}},{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{{\bf b} }] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z;\,\,z,y,x] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{{\bf c}},{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [\bar x,\bar y,z;\,\,z,\bar y,x] [(4\!\cdot\!\infty)\!\cdot\! 4]
    [a\!=\! c,\,\beta \!=\!120^\circ] [P^16/mmm] [{\textstyle{1 \over 2}}{{\bf c}},{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [z,y,x;\,\,\bar x\!+\! z,y,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 6]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1622] [{\textstyle{1 \over 2}}{{\bf c}},{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [z,\bar y,x;\,\,\bar x\!+\! z,\bar y,z] [(4\!\cdot\!\infty)\!\cdot\! 6]
3 [P112] General [P^1112/m] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0]   [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1112] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/]   [(4\!\cdot\!\infty)\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,\bar y,z] [(4\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [x,\bar y,\bar z] [(4\!\cdot\! \infty)\!\cdot\! 2]
    [2\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma\, \lt\, 120^\circ] [C^1mmm] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf a}}\!+\! {{\bf b}},\varepsilon{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x\!+\! y,y,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{{\cal N_{E^+}(G)}}\!\!:\, C^1222] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf a}}\!+\! {{\bf b}},\varepsilon{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [\bar x\!+\! y,y,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [a \!=\! b,\,90^\circ\lt \gamma\lt 120^\circ] [C^1mmm] [{\textstyle{1\over 2}}({{\bf a}}\!-\!{{\bf b}}),{\textstyle{1\over 2}}({{\bf a}}\!+\! {{\bf b}}),\varepsilon{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [y,x,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{{\cal N_{E^+}(G)}}\!\!:\, C^1222] [{\textstyle{1\over 2}}({{\bf a}}\!-\!{{\bf b}}),{\textstyle{1\over 2}}({{\bf a}}\!+\! {{\bf b}}),\varepsilon{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [y,x,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! b,\,\gamma\!=\!90^\circ] [P^14/mmm] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z;\,\,y,x,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [\bar x,y,\bar z;\,\,y,x,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 4]
    [a\!=\! b,\,\gamma\!=\!120^\circ] [P^16/mmm] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [y,x,z;\,\,x,x\!-\!y,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 6]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1622] [{\textstyle{1 \over 2}}{{\bf a}},{\textstyle{1 \over 2}}{{\bf b}},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [y,x,\bar z;\,\,x,x\!-\!y,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 6]
4 [P12_11] General [P^112/m1] [{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0]   [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{{\cal N_{E^+}(G)}}\!\!:\, P^1121] [{\textstyle{1 \over 2}}{{\bf a}},\varepsilon{{\bf b}},{\textstyle{1 \over 2}}{{\bf c}} ] [{\textstyle{1 \over 2}} ,0,0;\, 0,s,0;\, 0,0,{\textstyle{1 \over 2}}] [/]   [(4\!\cdot\!\infty)\!\cdot\! 1]
    [a \gt c,\beta \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z] [(4\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [\bar x,\bar y,z] [(4\!\cdot\! \infty)\!\cdot\! 2]
    [2\cos\beta\!=\!-c/a,\,90^\circ\lt \beta \lt 120^\circ] [B^1mmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [x,y,x\!-\!z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, B^1222] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [x,\bar y,x\!-\!z] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [a \!=\! c,\,90^\circ\lt \beta \lt 120^\circ] [B^1mmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),\varepsilon {\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\! {{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [z,y,x] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, B^1222] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),\varepsilon {\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\! {{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [z,\bar y,x] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\!90^\circ] [P^14/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z;\,\,z,y,x] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [\bar x,y,\bar z;\,\,z,\bar y,x] [(4\!\cdot\!\infty)\!\cdot\! 4]
    [a\!=\! c,\,\beta \!=\!120^\circ] [P^16/mmm\!] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [z,y,x;\,\,\bar x\!+\! z,y,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 6]
      [{\cal N_{E^+}(G)}\!\!:\, P^1622] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [z,\bar y,x;\,\,\bar x\!+\! z,\bar y,z] [(4\!\cdot\!\infty)\!\cdot\! 6]
4 [P112_1] General [P^1112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0]   [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{\cal N_{E^+}(G)}\!\!:\, P^1112] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/]   [(4\!\cdot\!\infty)\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(4\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [\bar x,y,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [ 2\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma \lt 120^\circ] [C^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x\!+\! y,y,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, C^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [\bar x\!+\! y,y,\bar z] [(4\!\cdot\! \infty)\!\cdot\! 2]
    [a \!=\! b,\,90^\circ\lt \gamma\lt 120^\circ] [C^1mmm] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [y,x,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, C^1222] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [y,x,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! b,\,\gamma\!=\!90^\circ] [P^14/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z;\,\,y,x,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [\bar x,y,\bar z;\,\,y,x,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 4]
    [a\!=\! b,\,\gamma\!=\!120^\circ] [P^16/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [y,x,z;\,\,x,x\!-\!y,z] [(4\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 6]
      [{\cal N_{E^+}(G)}\!\!:\, P^1622] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [y,x,\bar z;\,\,x,x\!-\!y,\bar z] [(4\!\cdot\!\infty)\!\cdot\! 6]
5 [C121] General [P^112/m1] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0]   [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{\cal N_{E^+}(G)}\!\!:\, P^1121 ] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/]   [(2\!\cdot\!\infty)\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [\bar x,y,\bar z] [(2\!\cdot\! \infty)\!\cdot\! 2]
    [\cos\beta\!=\!-c/a,\,90^\circ\lt \beta\lt 135^\circ] [P^1mmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [x,y,2x\!-\!z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [x,\bar y,2x\!-\!z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [B^1mmm] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf a}\!+\!{\bf c} ] [0,s,0;\, 0,0,{\textstyle{1 \over 2}} \;\,\,] [0,0,0] [\bar x\!+\! z,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, B^1222] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf c}] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [\bar x\!+\! z,\bar y,z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ ] [P^14/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf c},\varepsilon {\bf b} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [x,y,2x\!-\!z;\, \bar x\!+\!z,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf c},\varepsilon {\bf b} ] [0,s,0;\, 0,0,{\textstyle{1\over 2}}] [/] [x,\bar y,2x\!-\!z;\, \bar x\!+\!z,\bar y,z\;\,] [(2\!\cdot\!\infty)\!\cdot\! 4]
5 [A121] General [P^112/m1] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0]   [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{\cal N_{E^+}(G)}\!\!:\,P^1121] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/]   [(2\!\cdot\!\infty)\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [\bar x,y,\bar z] [(2\!\cdot\! \infty)\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}({\bf a}\!+\! {{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [\bar x\!+\! 2z,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}({\bf a}\!+\! {{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [\bar x\!+\! 2z,\bar y,z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [B^1mmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [x,y,x\!-\!z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, B^1222] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [x,\bar y,x\!-\!z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ] [P^14/mmm] [{\textstyle{1 \over 2}}{\bf a},-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),\varepsilon{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [x,y,x\!-\!z;\, \bar x\!+\!2z,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{\bf a},-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),\varepsilon{\bf b } ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [x,\bar y,x\!-\!z;\, \bar x\!+\!2z,\bar y,z] [(2\!\cdot\!\infty)\!\cdot\! 4]
5 [I121] General [P^112/m1] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0]   [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{\cal N_{E^+}(G)}\!\!:\, P^1121] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/]   [(2\!\cdot\!\infty)\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [\bar x,\bar y,z] [(2\!\cdot\! \infty)\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ] [P^1mmm] [{\textstyle{1 \over 2}}({\bf a}\!+\!{{\bf c}}),\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [x,y,2x\!-\!z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}({\bf a}\!+\!{{\bf c}}),\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [x,\bar y,2x\!-\!z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [B^1mmm] [{\textstyle{1 \over 2}}({\bf a}\!+\!{{\bf c}}),\varepsilon {\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\!{{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [z,y,x] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, B^1222] [{\textstyle{1\over 2}}({\bf a}\!+\!{{\bf c}}),\varepsilon {\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\!{{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [z,\bar y,x] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ] [P^14/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},\varepsilon{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [0,0,0] [\bar x,y,z;\, z,y,x] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},\varepsilon{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,s,0] [/] [\bar x,\bar y,z;\, z,\bar y,x] [(2\!\cdot\!\infty)\!\cdot\! 4]
5 [A112] General [P^1112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0]   [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{\cal N_{E^+}(G)}\!\!:\, P^1112] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/]   [(2\!\cdot\!\infty)\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [\bar x,y,\bar z] [(2\!\cdot\! \infty)\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma \lt 135^\circ ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}({\bf a}\!+\!{\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [\bar x\!+\!2y,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}({\bf a}\!+\!{\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [\bar x\!+\!2y,y,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [2\cos\gamma \!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [C^1mmm] [{\bf a}\!+\! {\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [x,x\!-\!y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, C^1222] [{\bf a}\!+\! {\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [x,x\!-\!y,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P^14/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [\bar x\!+\! 2y,y,z;\, x,x\!-\!y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf a},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [\bar x\!+\! 2y,y,\bar z;\, x,x\!-\!y,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 4]
5 [B112] General [P^1112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0]   [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{\cal N_{E^+}(G)}\!\!:\, P^1112] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [/]   [(2\!\cdot\!\infty)\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [\bar x,y,\bar z] [(2\!\cdot\! \infty)\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma \lt 135^\circ] [P^1mmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,2x\!-\!y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [x,2x\!-\!y,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,\,90^\circ\lt \gamma \lt 135^\circ ] [C^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x\!+\!y,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, C^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b},\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [\bar x\!+\!y,y,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P^14/mmm] [{\textstyle{1 \over 2}}{\bf b},-{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,2x\!-\!y,z;\, \bar x\!+\!y,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{\bf b},-{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),\varepsilon {\bf c} ] [0,{\textstyle{1\over 2}},0;\, 0,0,t] [/] [x,2x\!-\!y,\bar z;\, \bar x\!+\!y,y,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 4]
5 [I112] General [P^1112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0]   [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 1]
      [{\cal N_{E^+}(G)}\!\!:\, P^1112] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/]   [(2\!\cdot\!\infty)\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\! 90^\circ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [\bar x,y,\bar z] [(2\!\cdot\! \infty)\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma \lt 180^\circ ] [P^1mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [\bar x\!+\!2y,y,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, P^1222] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [\bar x\!+\!2y,y,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\!b,\,90^\circ\lt \gamma\lt 180^\circ] [C^1mmm] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [y,x,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 2]
      [{\cal N_{E^+}(G)}\!\!:\, C^1222] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [y,x,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\!90^\circ] [P^14/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [0,0,0] [\bar x,y,z;\, y,x,z] [(2\!\cdot\!\infty)\!\cdot\! 2\!\cdot\! 4]
      [{\cal N_{E^+}(G)}\!\!:\, P^1422] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon {\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,t] [/] [\bar x,y,\bar z;\, y,x,\bar z] [(2\!\cdot\!\infty)\!\cdot\! 4]
6 [P1m1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [2\cos\beta\!=\!-c/a,\,90^\circ\lt \beta \lt 120^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,y,x\!-\!z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a \!=\! c,\,90^\circ\lt \beta \lt 120^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2(-{\bf a}\!+\! {{\bf c}}) ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [z,y,x] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\!90^\circ ] [P^24/mmm] [\varepsilon {\bf c},\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z;\, z,y,x] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
    [a\!=\! c,\,\beta \!=\!120^\circ ] [P^26/mmm] [\varepsilon {\bf c},\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [z,y,x;\, \bar x\!+\!z,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 6]
6 [P11m] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2 {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [a \lt b,\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [2\cos\gamma\!=\!-a/b,90^\circ\lt \gamma \lt 120^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\textstyle{1 \over 2}}{\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x\!+\! y,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a \!=\! b,\,90^\circ\lt \gamma \lt 120^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!-\!{\bf b}),\varepsilon_2({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [y,x,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! b,\,\gamma\!=\!90^\circ ] [P^24/mmm] [\varepsilon {\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z;\, y,x,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
    [a\!=\! b,\,\gamma\!=\!120^\circ ] [P^26/mmm] [\varepsilon {\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [y,x,z;\, x,x\!-\!y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 6]
7 [P1c1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta\lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2({\bf a}\!+\! {{\bf c}}) ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x\!+\! 2z,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c} ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,y,x\!-\!z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ ] [P^24/mmm] [\varepsilon {\bf a},-\varepsilon({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,y,x\!-\!z;\,\,\bar x\!+\!2z,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
7 [P1n1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\bf c}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{{\bf c}}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2(-{\bf a}\!+\!{{\bf c}}) ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [z,y,x] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ ] [P^24/mmm] [\varepsilon {\bf c},\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z;\, z,y,x] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
7 [P1a1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135 ^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2({\textstyle{1 \over 2}}{\bf a}\!+\! {{\bf c}}) ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [\bar x\!+\! z,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ ] [P^24/mmm] [-\varepsilon({\bf a}\!+\! {{\bf c}}),\varepsilon {\bf c},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z;\,\,\bar x\!+\!z,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
7 [P11a] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\! {\bf b}),\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [x,2x\!-\!y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,\,90^\circ\lt \gamma \lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x\!+\! y,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P^24/mmm] [\varepsilon {\bf b},-\varepsilon({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [x,2x\!-\!y,z;\,\,x\!-\!y,\bar y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
7 [P11n] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma\lt 180^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x\!+\! 2y,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\!b,\, 90^\circ\lt \gamma \lt 180^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!-\!{\bf b}),\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [y,x,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\! 90^\circ ] [P^24/mmm] [\varepsilon {\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z;\, y,x,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
7 [P11b] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0]   [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x,y,z] [(2\!\cdot\! \infty^2)\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma\lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x\!+\!2y,y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [2\cos\gamma\!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\textstyle{1 \over 2}}{\bf b}),\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [x,x\!-\!y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P^24/mmm] [-\varepsilon({\bf a}\!+\! {\bf b}),\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0;\, 0,0,{\textstyle{1\over 2}}] [0,0,0] [\bar x\!+\! 2y,y,z;\,\,x,x\!-\!y,z] [(2\!\cdot\!\infty^2)\!\cdot\! 2\!\cdot\! 4]
8 [C1m1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2({\textstyle{1 \over 2}}{\bf a}\!+\! {{\bf c}}) ] [r,0,0;\, 0,0,t] [0,0,0] [\bar x\!+\! z,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ ] [P^24/mmm] [-\varepsilon({\bf a}\!+\! {{\bf c}}),\varepsilon {\bf c},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z;\,\,\bar x\!+\!z,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 4]
8 [A1m1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2({\bf a}\!+\! {{\bf c}})] [r,0,0;\, 0,0,t] [0,0,0] [\bar x\!+\! 2z,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [x,y,x\!-\!z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ ] [P^24/mmm] [\varepsilon {\bf a},-\varepsilon({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,0,t] [0,0,0] [x,y,x\!-\!z;\,\,\bar x\!+\!2z,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 4]
8 [I1m1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\bf c}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{{\bf c}}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2(-{\bf a}\!+\!{{\bf c}}) ] [r,0,0;\, 0,0,t] [0,0,0] [z,y,x] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ ] [P^24/mmm] [\varepsilon {\bf c},\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z;\, z,y,x] [\infty^2\!\cdot\! 2\!\cdot\! 4]
8 [A11m] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma\lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\!2y,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\gamma \!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\textstyle{1 \over 2}}{\bf b}),\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [x,x\!-\!y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P^24/mmm] [-\varepsilon({\bf a}\!+\! {\bf b}),\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\! 2y,y,z;\, x,x\!-\!y,z] [\infty^2\!\cdot\! 2\!\cdot\! 4]
8 [B11m] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\! {\bf b}),\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [x,2x\!-\!y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,\,90^\circ\lt \gamma \lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\! y,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P^24/mmm] [\varepsilon {\bf b},-\varepsilon({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [x,2x\!-\!y,z;\, \bar x\!+\! y,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 4]
8 [I11m] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma \lt 180^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\! 2y,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\!b,\, 90^\circ\lt \gamma \lt 180^\circ] [P^2mmm] [\varepsilon_1({\bf a}-{\bf b}),\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [y,x,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\! 90^\circ ] [P^24/mmm] [\varepsilon {\bf a},\varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z;\, y,x,z] [\infty^2\!\cdot\! 2\!\cdot\! 4]
9 [C1c1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c} ] [r,0,0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ ] [P^2bmb] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2({\textstyle{1 \over 2}}{\bf a}\!+\! {{\bf c}}) ] [r,0,0;\, 0,0,t] [0,0,0] [\bar x\!+\! z,y\!+\!{\textstyle{1\over 4}},z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ ] [P^24_2/mmc] [-\varepsilon({\bf a}\!+\! {{\bf c}}),\varepsilon {\bf c},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z;\,] [\bar x\!+\!z,y\!+\!{\textstyle{1\over 4}},z] [\infty^2\!\cdot\! 2\!\cdot\! 4]
9 [A1n1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c} ] [r,0,0;\, 0,0,t] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2({\bf a}\!+\! {{\bf c}}) ] [r,0,0;\, 0,0,t] [0,0,0] [\bar x\!+\! 2z,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [P^2bmb] [\varepsilon_1({\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c} ] [r,0,0;\, 0,0,t] [0,0,0] [x,y\!+\!{\textstyle{1\over 4}},x\!-\!z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ ] [P^24_2/mmc] [\varepsilon {\bf a},-\varepsilon({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,0,t] [0,0,0] [x,y\!+\!{\textstyle{1\over 4}},x\!-\!z;\,] [\bar x\!+\!2z,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 4]
9 [I1a1] General [P^212/m1] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c} ] [r,0,0;\, 0,0,t] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\!{\bf c}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2{\bf c}] [r,0,0;\, 0,0,t] [0,0,0] [x,y,2x\!-\!z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [P^2bmb] [\varepsilon_1({\bf a}\!+\!{{\bf c}}),{\textstyle{1 \over 2}}{\bf b},\varepsilon_2(-{\bf a}\!+\!{{\bf c}}) ] [r,0,0;\, 0,0,t] [0,0,0] [z,y\!+\!{\textstyle{1\over 4}},x] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ ] [P^24_2/mmc] [\varepsilon {\bf c},\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf b} ] [r,0,0;\, 0,0,t] [0,0,0] [\bar x,y,z;\, z,y\!+\!{\textstyle{1\over 4}},x] [\infty^2\!\cdot\! 2\!\cdot\! 4]
9 [A11a] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\gamma \!=\!90^\circ ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma\lt 135^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\!2y,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\gamma \!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [P^2ccm] [\varepsilon_1({\bf a}\!+\!{\textstyle{1 \over 2}}{\bf b}),\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [x,x\!-\!y,z\!+\!{\textstyle{1\over 4}}] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P^24_2/mmc] [-\varepsilon({\bf a}\!+\! {\bf b}),\varepsilon {\bf a},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\! 2y,y,z;\,] [x,x\!-\!y,z\!+\!{\textstyle{1\over 4}}] [\infty^2\!\cdot\! 2\!\cdot\! 4]
9 [B11n] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma\lt 135^\circ] [P^2mmm] [\varepsilon_1({\bf a}\!+\! {\bf b}),\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [x,2x\!-\!y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,90^\circ\lt \gamma \lt 135^\circ] [P^2ccm] [\varepsilon_1{\bf a},\varepsilon_2({\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\! y,y,z\!+\!{\textstyle{1\over 4}}] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P^24_2/mmc] [\varepsilon {\bf b},-\varepsilon({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [x,2x\!-\!y,z;\,] [\bar x\!+\! y,y,z\!+\!{\textstyle{1\over 4}}] [\infty^2\!\cdot\! 2\!\cdot\! 4]
9 [I11b] General [P^2112/m] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0]   [\infty^2\!\cdot\! 2\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma \lt 180^\circ] [P^2mmm] [\varepsilon_1{\bf a},\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x\!+\! 2y,y,z] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\!b,\, 90^\circ\lt \gamma \lt 180^\circ] [P^2ccm] [\varepsilon_1({\bf a}\!-\!{\bf b}),\varepsilon_2({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [y,x,z\!+\!{\textstyle{1\over 4}}] [\infty^2\!\cdot\! 2\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\! 90^\circ ] [P^24_2/mmc] [\varepsilon {\bf a}, \varepsilon {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [r,0,0;\, 0,s,0] [0,0,0] [\bar x,y,z;\, y,x,z\!+\!{\textstyle{1\over 4}}] [\infty^2\!\cdot\! 2\!\cdot\! 4]
10 [P12/m1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta\!=\!-c/a,\,90^\circ\lt \beta \lt 120^\circ] [Bmmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [a \!=\! c,\,90^\circ\lt \beta \lt 120^\circ] [Bmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\! {{\bf c}}) ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [z,y,x] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\!90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, z,y,x] [8\!\cdot\! 1\!\cdot\! 4]
    [a\!=\! c,\,\beta \!=\!120^\circ ] [P6/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [z,y,x;\, \bar x\!+\!z,y,z] [8\!\cdot\! 1\!\cdot\! 6]
10 [P112/m] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma \lt 120^\circ] [Cmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a \!=\! b,\,90^\circ\lt \gamma \lt 120^\circ] [Cmmm] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [y,x,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b,\,\gamma\!=\!90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, y,x,z] [8\!\cdot\! 1\!\cdot\! 4]
    [a\!=\! b,\,\gamma\!=\!120^\circ] [P6/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [y,x,z;\, x,x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 6]
11 [P12_1/m1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta\!=\!-c/a,\,90^\circ\lt \beta \lt 120^\circ] [Bmmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [a \!=\! c,\,90^\circ\lt \beta \lt 120^\circ] [Bmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\! {{\bf c}})] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [z,y,x] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\!90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, z,y,x] [8\!\cdot\! 1\!\cdot\! 4]
    [a\!=\! c,\,\beta \!=\!120^\circ ] [P6/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [z,y,x;\, \bar x\!+\!z,y,z] [8\!\cdot\! 1\!\cdot\! 6]
11 [P112_1/m] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma \lt 120^\circ] [Cmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a \!=\! b,\,90^\circ\lt \gamma\lt 120^\circ] [Cmmm] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [y,x,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b,\,\gamma\!=\!90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, y,x,z] [8\!\cdot\! 1\!\cdot\! 4]
    [a\!=\! b,\,\gamma\!=\!120^\circ ] [P6/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [y,x,z;\, x,x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 6]
12 [C12/m1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]     [4\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [Bmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! z,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ] [P4/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z;\, \bar x\!+\!z,y,z] [4\!\cdot\! 1\!\cdot\! 4]
12 [A12/m1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135 ^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}})] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\! 2z,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [Bmmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,y,x\!-\!z] [4\!\cdot\! 1\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,y,x\!-\!z;\, \bar x\!+\!2z,y,z] [4\!\cdot\! 1\!\cdot\! 4]
12 [I12/m1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,y,2x\!-\!z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [Bmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\!{{\bf c}})] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [z,y,x] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z;\, z,y,x] [4\!\cdot\! 1\!\cdot\! 4]
12 [A112/m] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma \lt 135^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\!2y,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [Cmmm] [{\bf a}\!+\! {\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,x\!-\!y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P4/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\! 2y,y,z;\, x,x\!-\!y,z] [4\!\cdot\! 1\!\cdot\! 4]
12 [B112/m] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma \lt 135^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,2x\!-\!y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,\,90^\circ\lt \gamma \lt 135^\circ] [Cmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\!y,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf b},-{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,2x\!-\!y,z;\, \bar x\!+\!y,y,z] [4\!\cdot\! 1\!\cdot\! 4]
12 [I112/m] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [a\lt b,\,\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\, 90^\circ\lt \gamma \lt 180^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\!2y,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!b,\,90^\circ\lt \gamma \lt 180^\circ] [Cmmm] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [y,x,z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\!90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z;\, y,x,z] [4\!\cdot\! 1\!\cdot\! 4]
13 [P12/c1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! 2z,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [Bmmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,x\!-\!z;\, \bar x\!+\!2z,y,z] [8\!\cdot\! 1\!\cdot\! 4]
13 [P12/n1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{\bf c}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [Bmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\! {{\bf c}})] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [z,y,x] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, z,y,x] [8\!\cdot\! 1\!\cdot\! 4]
13 [P12/a1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [Bmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! z,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ ] [P4/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z;\, \bar x\!+\!z,y,z] [8\!\cdot\! 1\!\cdot\! 4]
13 [P112/a] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma \lt 135^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,2x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,\,90^\circ\lt \gamma \lt 135^\circ] [Cmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf b},-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,2x\!-\!y,z;\, \bar x\!+\! y,y,z] [8\!\cdot\! 1\!\cdot\! 4]
13 [P112/n] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma \lt 180^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! 2y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!b,\, 90^\circ\lt \gamma \lt 180^\circ] [Cmmm] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [y,x,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\! 90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, y,x,z] [8\!\cdot\! 1\!\cdot\! 4]
13 [P112/b] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma\lt 135^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\!2y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [Cmmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P4/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! 2y,y,z;\, x,x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 4]
14 [P12_1/c1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! 2z,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [Bmmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,x\!-\!z;\, \bar x\!+\!2z,y,z] [8\!\cdot\! 1\!\cdot\! 4]
14 [P12_1/n1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{\bf c}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [Bmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\! {{\bf c}})] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [z,y,x] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, z,y,x] [8\!\cdot\! 1\!\cdot\! 4]
14 [P12_1/a1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ] [Bmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! z,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ ] [P4/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z;\, \bar x\!+\!z,y,z] [8\!\cdot\! 1\!\cdot\! 4]
14 [P112_1/a] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma \lt 135^\circ ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,2x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,\,90^\circ\lt \gamma \lt 135^\circ] [Cmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf b},-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,2x\!-\!y,z;\, \bar x\!+\! y,y,z] [8\!\cdot\! 1\!\cdot\! 4]
14 [P112_1/n] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [a \lt b,\,\gamma \!=\!90^\circ ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma \lt 180^\circ ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! 2y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!b,\, 90^\circ\lt \gamma \lt 180^\circ] [Cmmm] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [y,x,z] [8\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\! 90^\circ ] [P4/mmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z;\, y,x,z] [8\!\cdot\! 1\!\cdot\! 4]
14 [P112_1/b] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]     [8\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\,90^\circ\lt \gamma\lt 135^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\!2y,y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [Cmmm] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [x,x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P4/mmm] [-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! 2y,y,z;\, x,x\!-\!y,z] [8\!\cdot\! 1\!\cdot\! 4]
15 [C12/c1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]     [4\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c} ] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -a/c,\,90^\circ\lt \beta\lt 135^\circ] [Bbmb] [(n\,2/m\,n)] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf a}\!+\! {\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [\bar x\!+\! z\!+\!{\textstyle{1\over 4}},y\!+\!{\textstyle{1\over 4}},z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c\sqrt 2,\,\beta \!=\!135^\circ ] [P4_2/mmc] [(2/m\,2/m\,n)] [-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf c},{\textstyle{1\over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,0,{\textstyle{1\over 2}}]   [x,y,2x\!-\!z;\, \bar x\!+\!z\!+\!{\textstyle{1\over 4}},] [y\!+\!{\textstyle{1\over 4}},z] [4\!\cdot\! 1\!\cdot\! 4]
15 [A12/n1] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\! -a/c,\,90^\circ\lt \beta \lt 135^\circ ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\! 2z,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\beta \!=\! -c/a,\,90^\circ\lt \beta \lt 135^\circ] [Bbmb] [(n\,2/m\,n)] [{\bf a}\!+\!{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,y\!+\!{\textstyle{1\over 4}},x\!-\!z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 2]
    [c\!=\! a\sqrt 2,\,\beta \!=\!135^\circ ] [P4_2/mmc] [(2/m2/m\,n)] [{\textstyle{1 \over 2}}{\bf a},-{\textstyle{1\over 2}}({\bf a}\!+\! {{\bf c}}),{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\!2z,y,z;\, x,y\!+\!{\textstyle{1\over 4}},] [x\!-\!z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 4]
15 [I12/a1] General [P12/m1] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [a \gt c,\,\beta \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\beta \!=\!-c/a,\,90^\circ\lt \beta \lt 180^\circ ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{\bf c}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,y,2x\!-\!z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!c,\, 90^\circ\lt \beta \lt 180^\circ] [Bbmb] [(n\,2/m\,n)] [{\textstyle{1\over 2}}({\bf a}\!+\!{{\bf c}}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1\over 2}}(-{\bf a}\!+\! {{\bf c}})] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [z\!+\!{\textstyle{1\over 4}},y\!+\!{\textstyle{1\over 4}},x\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! c,\,\beta \!=\! 90^\circ ] [P4_2/mmc] [(2/m2/m\,n)] [{\textstyle{1 \over 2}}{\bf c},{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z;\, z\!+\!{\textstyle{1\over 4}},y\!+\!{\textstyle{1\over 4}},] [x\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 4]
15 [A112/a] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-a/b,\,90^\circ\lt \gamma \lt 135^\circ ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\!2y,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -b/a,\,90^\circ\lt \gamma \lt 135^\circ] [Cccm] [(n\,n2/m)] [{\bf a}\!+\! {\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,x\!-\!y\!+\!{\textstyle{1\over 4}},z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 2]
    [b\!=\! a\sqrt 2,\,\gamma \!=\!135^\circ ] [P4_2/mmc] [(2/m2/m\,n)] [-{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\! 2y,y,z;\, ] [x,x\!-\!y\!+\!{\textstyle{1\over 4}},z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 4]
15 [B112/n] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,\bar y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma \!=\!-b/a,\,90^\circ\lt \gamma \lt 135^\circ ] [Pmmm] [{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,2x\!-\!y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [2\cos\gamma \!=\! -a/b,\,90^\circ\lt \gamma \lt 135^\circ] [Cccm] [(n\,n2/m)] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf a}\!+\!{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\!y\!+\!{\textstyle{1\over 4}},y,z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b\sqrt 2,\,\gamma \!=\!135^\circ ] [P4_2/mmc] [(2/m2/m\,n)] [{\textstyle{1 \over 2}}{\bf b},-{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [x,2x\!-\!y,z;\,] [ \bar x\!+\!y\!+\!{\textstyle{1\over 4}},y,z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 4]
15 [I112/b] General [P112/m] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]     [4\!\cdot\! 1\!\cdot\! 1]
    [a\lt b,\,\gamma \!=\!90^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [\cos\gamma\!=\!-a/b,\, 90^\circ\lt \gamma \lt 180^\circ] [Pmmm] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1\over 2}}({\bf a}\!+\!{\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x\!+\!2y,y,z] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\!b,\,90^\circ \lt \gamma \lt 180^\circ] [Cccm] [(n\,n2/m)] [{\textstyle{1\over 2}}({\bf a}\!-\!{\bf b}),{\textstyle{1\over 2}}({\bf a}\!+\! {\bf b}),{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [y\!+\!{\textstyle{1\over 4}},x\!+\!{\textstyle{1\over 4}},z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 2]
    [a\!=\! b,\,\gamma \!=\!90^\circ ] [P4_2/mmc] [(2/m2/m\,n)] [{\textstyle{1 \over 2}}{\bf a},{\textstyle{1 \over 2}}{\bf b},{\textstyle{1 \over 2}}{\bf c}] [{\textstyle{1\over 2}},0,0;\, 0,{\textstyle{1\over 2}},0]   [\bar x,y,z;\, y\!+\!{\textstyle{1\over 4}},x\!+\!{\textstyle{1\over 4}},] [z\!+\!{\textstyle{1\over 4}}] [4\!\cdot\! 1\!\cdot\! 4]