Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/2, 1/2, 1/2); (2); (3); (5)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
|
| | (0, 0, 0)+ (1/2, 1/2, 1/2)+ |
| | (1) x, y, z | (2) -x, -y, z | (3) -y, x, z | (4) y, -x, z | | (5) -x, y, -z | (6) x, -y, -z | (7) y, x, -z | (8) -y, -x, -z |
|
I Maximal translationengleiche subgroups
| [2] I411 (79, I4) | (1; 2; 3; 4)+ |
|
|
| [2] I221 (23, I222) | (1; 2; 5; 6)+ |
|
|
| [2] I212 (22, F222) | (1; 2; 7; 8)+ | a - b, a + b, c
|
|
II Maximal klassengleiche subgroups
- Loss of centring translations
| [2] P42212 (94) | 1; 2; 7; 8; (3; 4; 5; 6) + (1/2, 1/2, 1/2) | | |
| [2] P4222 (93) | 1; 2; 5; 6; (3; 4; 7; 8) + (1/2, 1/2, 1/2) | | 0, 1/2, 0 |
| [2] P4212 (90) | 1; 2; 3; 4; (5; 6; 7; 8) + (1/2, 1/2, 1/2) | | 0, 1/2, 1/4 |
| [2] P422 (89) | 1; 2; 3; 4; 5; 6; 7; 8 | | |
[3] c' = 3c
 | I422 (97) | <2; 3; 5> | a, b, 3c | | | I422 (97) | <2; 3; 5 + (0, 0, 2)> | a, b, 3c | 0, 0, 1 | | I422 (97) | <2; 3; 5 + (0, 0, 4)> | a, b, 3c | 0, 0, 2 |
|
- Series of maximal isomorphic subgroups
[p] c' = pc
| I422 (97) | <2; 3; 5 + (0, 0, 2u)> | a, b, pc | 0, 0, u | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
|
[p2] a' = pa, b' = pb
| I422 (97) | <2 + (2u, 2v, 0); 3 + (u + v, -u + v, 0); 5 + (2u, 0, 0)> | pa, pb, c | u, v, 0 | | | p > 2; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups for the prime p |
|
I Minimal translationengleiche supergroups
| [2] I4/mmm (139); [2] I4/mcm (140); [3] F432 (209); [3] I432 (211) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] c' = 1/2c C422 (89, P422) |
