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 |
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| | (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 + 1/2 | (6) -x, y, z + 1/2 | (7) -y, -x, z + 1/2 | (8) y, x, z + 1/2 |
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I Maximal translationengleiche subgroups
| [2] I411 (79, I4) | (1; 2; 3; 4)+ |
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| [2] I2c1 (45, Iba2) | (1; 2; 5; 6)+ |
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| [2] I21m (42, Fmm2) | (1; 2; 7; 8)+ | a - b, a + b, c
| 0, 1/2, 0
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II Maximal klassengleiche subgroups
- Loss of centring translations
| [2] P42bc (106) | 1; 2; 7; 8; (3; 4; 5; 6) + (1/2, 1/2, 1/2) | | 0, 1/2, 0 |
| [2] P4cc (103) | 1; 2; 3; 4; 5; 6; 7; 8 | | |
| [2] P42cm (101) | 1; 2; 5; 6; (3; 4; 7; 8) + (1/2, 1/2, 1/2) | | 0, 1/2, 0 |
| [2] P4bm (100) | 1; 2; 3; 4; (5; 6; 7; 8) + (1/2, 1/2, 1/2) | | |
[3] c' = 3c
| I4cm (108) | <2; 3; 5 + (0, 0, 1)> | a, b, 3c | |
- Series of maximal isomorphic subgroups
[p] c' = pc
| I4cm (108) | <2; 3; 5 + (0, 0, p/2 - 1/2)> | a, b, pc | | | | p > 2
no conjugate subgroups |
|
[p2] a' = pa, b' = pb
| I4cm (108) | <2 + (2u, 2v, 0); 3 + (u + v, -u + v, 0); 5 + (0, 2v, 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
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] c' = 1/2c C4mm (99, P4mm) |
