Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3); (5)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
|
| | |
| | (1) x, y, z | (2) -x, -y, z | (3) -y + 1/2, x + 1/2, z + 1/2 | (4) y + 1/2, -x + 1/2, z + 1/2 | | (5) x + 1/2, -y + 1/2, z + 1/2 | (6) -x + 1/2, y + 1/2, z + 1/2 | (7) -y, -x, z | (8) y, x, z |
|
I Maximal translationengleiche subgroups
| [2] P4211 (77, P42) | 1; 2; 3; 4 |
| 0, 1/2, 0
|
| [2] P21m (35, Cmm2) | 1; 2; 7; 8 | a - b, a + b, c
|
|
| [2] P2n1 (34, Pnn2) | 1; 2; 5; 6 |
|
|
II Maximal klassengleiche subgroups
[2] a' = 2a, b' = 2b, c' = 2c
| F41dc (110, I41cd) | <2; 3; 5 + (0, 0, 1)> | a - b, a + b, 2c | |
| F41dc (110, I41cd) | <2; 5; 3 + (0, 0, 1)> | a - b, a + b, 2c | 1/2, 1/2, 0 |
| F41dm (109, I41md) | <2; 3; 5> | a - b, a + b, 2c | |
| F41dm (109, I41md) | <2; (3; 5) + (0, 0, 1)> | a - b, a + b, 2c | 1/2, 1/2, 0 |
[3] c' = 3c
| P42nm (102) | <2; (3; 5) + (0, 0, 1)> | a, b, 3c | |
- Series of maximal isomorphic subgroups
[p] c' = pc
| P42nm (102) | <2; (3; 5) + (0, 0, p/2 - 1/2)> | a, b, pc | | | | p > 2
no conjugate subgroups |
|
[p2] a' = pa, b' = pb
| P42nm (102) | <2 + (2u, 2v, 0); 3 + (p/2 - 1/2 + u + v, p/2 - 1/2 - u + v, 0); 5 + (p/2 - 1/2, p/2 - 1/2 + 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
| [2] P42/nnm (134); [2] P42/mnm (136) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] C42cm (105, P42mc); [2] I4mm (107) |
