Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/2, 1/2, 0); (2); (3)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
|
| | (0, 0, 0)+ (1/2, 1/2, 0)+ |
| | (1) x, y, z | (2) -x, -y, z + 1/2 | (3) x, -y, z + 1/2 | (4) -x, y, z |
|
I Maximal translationengleiche subgroups
| [2] C1c1 (9) | (1; 3)+ |
|
|
| [2] Cm11 (8, C1m1) | (1; 4)+ | -b, a, c
|
|
| [2] C1121 (4, P1121) | (1; 2)+ | 1/2(a - b), 1/2(a + b), c
|
|
II Maximal klassengleiche subgroups
- Loss of centring translations
| [2] Pbn21 (33, Pna21) | 1; 2; (3; 4) + (1/2, 1/2, 0) | -b, a, c | |
| [2] Pmn21 (31) | 1; 4; (2; 3) + (1/2, 1/2, 0) | | 0, 1/4, 0 |
| [2] Pbc21 (29, Pca21) | 1; 3; (2; 4) + (1/2, 1/2, 0) | -b, a, c | 1/4, 1/4, 0 |
| [2] Pmc21 (26) | 1; 2; 3; 4 | | |
[3] a' = 3a
 | Cmc21 (36) | <2; 3> | 3a, b, c | | | Cmc21 (36) | <3; 2 + (2, 0, 0)> | 3a, b, c | 1, 0, 0 | | Cmc21 (36) | <3; 2 + (4, 0, 0)> | 3a, b, c | 2, 0, 0 |
|
[3] b' = 3b
| Cmc21 (36) | <2; 3> | a, 3b, c | | | Cmc21 (36) | <(2; 3) + (0, 2, 0)> | a, 3b, c | 0, 1, 0 | | Cmc21 (36) | <(2; 3) + (0, 4, 0)> | a, 3b, c | 0, 2, 0 |
|
[3] c' = 3c
| Cmc21 (36) | <(2; 3) + (0, 0, 1)> | a, b, 3c | |
- Series of maximal isomorphic subgroups
[p] a' = pa
| Cmc21 (36) | <3; 2 + (2u, 0, 0)> | pa, b, c | u, 0, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
|
[p] b' = pb
| Cmc21 (36) | <(2; 3) + (0, 2u, 0)> | a, pb, c | 0, u, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
|
[p] c' = pc
| Cmc21 (36) | <(2; 3) + (0, 0, p/2 - 1/2)> | a, b, pc | | | | p > 2
no conjugate subgroups |
|
I Minimal translationengleiche supergroups
| [2] Cmcm (63); [2] Cmce (64); [3] P63cm (185); [3] P63mc (186) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] a' = 1/2a, b' = 1/2b Pmc21 (26); [2] c' = 1/2c Cmm2 (35) |
