Immm No. 71 I2/m2/m2/m D2h25

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/21/2); (2); (3); (5)

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 (0, 0, 0)+  (1/21/21/2)+  
16 o 1
(1) xyz(2) -x-yz(3) -xy-z(4) x-y-z
(5) -x-y-z(6) xy-z(7) x-yz(8) -xyz

I Maximal translationengleiche subgroups

[2] Imm2 (44)(1; 2; 7; 8)+
[2] Im2m (44Imm2)(1; 3; 6; 8)+cab
[2] I2mm (44Imm2)(1; 4; 6; 7)+bca
[2] I222 (23)(1; 2; 3; 4)+
[2] I112/m (12A112/m)(1; 2; 5; 6)+b, -a - bc
[2] I12/m1 (12C12/m1)(1; 3; 5; 7)+-a - cba
[2] I2/m11 (12C12/m1)(1; 4; 5; 8)+-b + cab

II Maximal klassengleiche subgroups

[2] Pmmn (59)1; 2; 7; 8; (3; 4; 5; 6) + (1/21/21/2)1/41/41/4
[2] Pmnm (59Pmmn)1; 3; 6; 8; (2; 4; 5; 7) + (1/21/21/2)cab1/41/41/4
[2] Pnmm (59Pmmn)1; 4; 6; 7; (2; 3; 5; 8) + (1/21/21/2)bca1/41/41/4
[2] Pnnm (58)1; 2; 5; 6; (3; 4; 7; 8) + (1/21/21/2)
[2] Pnmn (58Pnnm)1; 3; 5; 7; (2; 4; 6; 8) + (1/21/21/2)cab
[2] Pmnn (58Pnnm)1; 4; 5; 8; (2; 3; 6; 7) + (1/21/21/2)bca
[2] Pnnn (48)1; 2; 3; 4; (5; 6; 7; 8) + (1/21/21/2)1/41/41/4
[2] Pmmm (47)1; 2; 3; 4; 5; 6; 7; 8

[3] a' = 3a

braceImmm (71)<2; 3; 5>3abc
Immm (71)<(2; 3; 5) + (2, 0, 0)>3abc1, 0, 0
Immm (71)<(2; 3; 5) + (4, 0, 0)>3abc2, 0, 0

[3] b' = 3b

braceImmm (71)<2; 3; 5>a, 3bc
Immm (71)<3; (2; 5) + (0, 2, 0)>a, 3bc0, 1, 0
Immm (71)<3; (2; 5) + (0, 4, 0)>a, 3bc0, 2, 0

[3] c' = 3c

braceImmm (71)<2; 3; 5>ab, 3c
Immm (71)<2; (3; 5) + (0, 0, 2)>ab, 3c0, 0, 1
Immm (71)<2; (3; 5) + (0, 0, 4)>ab, 3c0, 0, 2

[p] a' = pa


Immm (71)<(2; 3; 5) + (2u, 0, 0)>pabcu, 0, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] b' = pb


Immm (71)<3; (2; 5) + (0, 2u, 0)>apbc0, u, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] c' = pc


Immm (71)<2; (3; 5) + (0, 0, 2u)>abpc0, 0, u
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

I Minimal translationengleiche supergroups

[2] I4/mmm (139); [3] Im-3 (204)

II Minimal non-isomorphic klassengleiche supergroups

none
[2] a' = 1/2a  Ammm (65, Cmmm); [2] b' = 1/2b  Bmmm (65, Cmmm); [2] c' = 1/2c  Cmmm (65)








































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