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 + 1/2, -y, z + 1/2 | (3) -x + 1/2, y, -z + 1/2 | (4) x, -y, -z | | (5) -x, -y, -z | (6) x + 1/2, y, -z + 1/2 | (7) x + 1/2, -y, z + 1/2 | (8) -x, y, z |
|
I Maximal translationengleiche subgroups
| [2] Pmn21 (31) | 1; 2; 7; 8 |
|
|
| [2] P2na (30, Pnc2) | 1; 4; 6; 7 | b, c, a
|
|
| [2] Pm2a (28, Pma2) | 1; 3; 6; 8 | a, -c, b
| 1/4, 0, 1/4
|
| [2] P2221 (17) | 1; 2; 3; 4 |
| 1/4, 0, 0
|
| [2] P1121/a (14) | 1; 2; 5; 6 |
|
|
| [2] P12/n1 (13, P12/c1) | 1; 3; 5; 7 | c, b, -a - c
|
|
| [2] P2/m11 (10, P12/m1) | 1; 4; 5; 8 | c, a, b
|
|
II Maximal klassengleiche subgroups
[2] b' = 2b
| Pbna (60, Pbcn) | <2; 5; 3 + (0, 1, 0)> | c, a, 2b | |
| Pbna (60, Pbcn) | <(2; 3; 5) + (0, 1, 0)> | c, a, 2b | 0, 1/2, 0 |
| Pmnn (58, Pnnm) | <5; (2; 3) + (0, 1, 0)> | 2b, c, a | |
| Pmnn (58, Pnnm) | <2; (3; 5) + (0, 1, 0)> | 2b, c, a | 0, 1/2, 0 |
| Pmna (53) | <2; 3; 5> | a, 2b, c | |
| Pmna (53) | <3; (2; 5) + (0, 1, 0)> | a, 2b, c | 0, 1/2, 0 |
| Pbnn (52, Pnna) | <3; 5; 2 + (0, 1, 0)> | 2b, c, a | |
| Pbnn (52, Pnna) | <2; 3; 5 + (0, 1, 0)> | 2b, c, a | 0, 1/2, 0 |
[3] a' = 3a
 | Pmna (53) | <5; (2; 3) + (1, 0, 0)> | 3a, b, c | | | Pmna (53) | <(2; 3) + (3, 0, 0); 5 + (2, 0, 0)> | 3a, b, c | 1, 0, 0 | | Pmna (53) | <(2; 3) + (5, 0, 0); 5 + (4, 0, 0)> | 3a, b, c | 2, 0, 0 |
|
[3] b' = 3b
| Pmna (53) | <2; 3; 5> | a, 3b, c | | | Pmna (53) | <3; (2; 5) + (0, 2, 0)> | a, 3b, c | 0, 1, 0 | | Pmna (53) | <3; (2; 5) + (0, 4, 0)> | a, 3b, c | 0, 2, 0 |
|
[3] c' = 3c
| Pmna (53) | <5; (2; 3) + (0, 0, 1)> | a, b, 3c | | | Pmna (53) | <2 + (0, 0, 1); 3 + (0, 0, 3); 5 + (0, 0, 2)> | a, b, 3c | 0, 0, 1 | | Pmna (53) | <2 + (0, 0, 1); 3 + (0, 0, 5); 5 + (0, 0, 4)> | a, b, 3c | 0, 0, 2 |
|
- Series of maximal isomorphic subgroups
[p] a' = pa
| Pmna (53) | <(2; 3) + (p/2 - 1/2 + 2u, 0, 0); 5 + (2u, 0, 0)> | pa, b, c | u, 0, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
|
[p] b' = pb
| Pmna (53) | <3; (2; 5) + (0, 2u, 0)> | a, pb, c | 0, u, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
|
[p] c' = pc
| Pmna (53) | <2 + (0, 0, p/2 - 1/2); 3 + (0, 0, p/2 - 1/2 + 2u); 5 + (0, 0, 2u)> | a, b, pc | 0, 0, u | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
|
I Minimal translationengleiche supergroups
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] Cmce (64); [2] Bmmm (65, Cmmm); [2] Amaa (66, Cccm); [2] Imma (74) |
| [2] c' = 1/2c Pmaa (49, Pccm); [2] a' = 1/2a Pmcm (51, Pmma) |
