Ibam No. 72 I2/b2/a2/m D2h26

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 k 1
(1) xyz(2) -x-yz(3) -x + 1/2y + 1/2-z(4) x + 1/2-y + 1/2-z
(5) -x-y-z(6) xy-z(7) x + 1/2-y + 1/2z(8) -x + 1/2y + 1/2z

I Maximal translationengleiche subgroups

[2] Ib2m (46Ima2)(1; 3; 6; 8)+cab 0, 0, 1/4
[2] I2am (46Ima2)(1; 4; 6; 7)+cb, -a 0, 0, 1/4
[2] Iba2 (45)(1; 2; 7; 8)+
[2] I222 (23)(1; 2; 3; 4)+ 0, 0, 1/4
[2] I12/a1 (15C12/c1)(1; 3; 5; 7)+a - cbc
[2] I2/b11 (15C12/c1)(1; 4; 5; 8)+-b - cac
[2] I112/m (12A112/m)(1; 2; 5; 6)+b, -a - bc

II Maximal klassengleiche subgroups

[2] Pcan (60Pbcn)1; 3; 5; 7; (2; 4; 6; 8) + (1/21/21/2)-bac
[2] Pbcn (60)1; 4; 5; 8; (2; 3; 6; 7) + (1/21/21/2)
[2] Pbcm (57)1; 3; 6; 8; (2; 4; 5; 7) + (1/21/21/2)1/41/41/4
[2] Pcam (57Pbcm)1; 4; 6; 7; (2; 3; 5; 8) + (1/21/21/2)-bac1/41/41/4
[2] Pccn (56)1; 2; 3; 4; (5; 6; 7; 8) + (1/21/21/2)1/41/41/4
[2] Pbam (55)1; 2; 3; 4; 5; 6; 7; 8
[2] Pban (50)1; 2; 7; 8; (3; 4; 5; 6) + (1/21/21/2)1/41/41/4
[2] Pccm (49)1; 2; 5; 6; (3; 4; 7; 8) + (1/21/21/2)

[3] a' = 3a

braceIbam (72)<2; 5; 3 + (1, 0, 0)>3abc
Ibam (72)<(2; 5) + (2, 0, 0); 3 + (3, 0, 0)>3abc1, 0, 0
Ibam (72)<(2; 5) + (4, 0, 0); 3 + (5, 0, 0)>3abc2, 0, 0

[3] b' = 3b

braceIbam (72)<2; 5; 3 + (0, 1, 0)>a, 3bc
Ibam (72)<(2; 5) + (0, 2, 0); 3 + (0, 1, 0)>a, 3bc0, 1, 0
Ibam (72)<(2; 5) + (0, 4, 0); 3 + (0, 1, 0)>a, 3bc0, 2, 0

[3] c' = 3c

braceIbam (72)<2; 3; 5>ab, 3c
Ibam (72)<2; (3; 5) + (0, 0, 2)>ab, 3c0, 0, 1
Ibam (72)<2; (3; 5) + (0, 0, 4)>ab, 3c0, 0, 2

[p] a' = pa


Ibam (72)<(2; 5) + (2u, 0, 0); 3 + (p/2 - 1/2 + 2u, 0, 0)>pabcu, 0, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] b' = pb


Ibam (72)<(2; 5) + (0, 2u, 0); 3 + (0, p/2 - 1/2, 0)>apbc0, u, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] c' = pc


Ibam (72)<2; (3; 5) + (0, 0, 2u)>abpc0, 0, u
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

I Minimal translationengleiche supergroups

[2] I4/mcm (140)

II Minimal non-isomorphic klassengleiche supergroups

none
[2] c' = 1/2c  Cmmm (65); [2] a' = 1/2a  Aemm (67, Cmme); [2] b' = 1/2b  Bmem (67, Cmme)








































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