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 + 1/2 | (3) -y + 1/2, x + 1/2, z + 3/4 | (4) y + 1/2, -x + 1/2, z + 1/4 | | (5) -x + 1/2, y + 1/2, -z + 3/4 | (6) x + 1/2, -y + 1/2, -z + 1/4 | (7) y, x, -z | (8) -y, -x, -z + 1/2 |
|
I Maximal translationengleiche subgroups
| [2] P4311 (78, P43) | 1; 2; 3; 4 |
| 0, 1/2, 0
|
| [2] P2112 (20, C2221) | 1; 2; 7; 8 | a - b, a + b, c
| 0, 0, 1/4
|
| [2] P21211 (19, P212121) | 1; 2; 5; 6 |
| 1/4, 0, 1/8
|
II Maximal klassengleiche subgroups
[3] c' = 3c
 | P41212 (92) | <3; 5; 2 + (0, 0, 1)> | a, b, 3c | | | P41212 (92) | <3; 2 + (0, 0, 1); 5 + (0, 0, 2)> | a, b, 3c | 0, 0, 1 | | P41212 (92) | <3; 2 + (0, 0, 1); 5 + (0, 0, 4)> | a, b, 3c | 0, 0, 2 |
|
- Series of maximal isomorphic subgroups
[p] c' = pc
| P43212 (96) | <2 + (0, 0, p/2 - 1/2); 3 + (0, 0, 3p/4 - 3/4); 5 + (0, 0, 3p/4 - 3/4 + 2u)> | a, b, pc | 0, 0, u | | | p > 4; 0 ≤ u < p
p conjugate subgroups for prime p ≡ 1 (mod 4) |
| P41212 (92) | <2 + (0, 0, p/2 - 1/2); 3 + (0, 0, p/4 - 3/4); 5 + (0, 0, p/4 - 3/4 + 2u)> | a, b, pc | 0, 0, u | | | p > 2; 0 ≤ u < p
p conjugate subgroups for prime p ≡ 3 (mod 4) |
|
[p2] a' = pa, b' = pb
| P43212 (96) | <2 + (2u, 2v, 0); 3 + (p/2 - 1/2 + u + v, p/2 - 1/2 - u + v, 0); 5 + (p/2 - 1/2 + 2u, p/2 - 1/2, 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] C4322 (95, P4322); [2] I4122 (98) |
| [2] c' = 1/2c P42212 (94) |
