UNIQUE AXIS b
Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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I Maximal translationengleiche subgroups
II Maximal klassengleiche subgroups
[2] b' = 2b
| P1m1 (6) | <2> | a, 2b, c | |
| P1m1 (6) | <2 + (0, 1, 0)> | a, 2b, c | 0, 1/2, 0 |
[2] c' = 2c
| P1c1 (7) | <2 + (0, 0, 1)> | a, b, 2c | |
| P1m1 (6) | <2> | a, b, 2c | |
[2] a' = 2a
| P1a1 (7, P1c1) | <2 + (1, 0, 0)> | -2a - c, b, 2a | |
| P1m1 (6) | <2> | 2a, b, c | |
[2] a' = 2a, c' = 2c
| B1e1 (7, P1c1) | <2 + (0, 0, 1)> | a - c, b, 2c | |
| B1m1 (6, P1m1) | <2> | a - c, b, 2c | |
[2] a' = 2a, b' = 2b
| C1m1 (8) | <2> | 2a, 2b, c | |
| C1m1 (8) | <2 + (0, 1, 0)> | 2a, 2b, c | 0, 1/2, 0 |
[2] b' = 2b, c' = 2c
| A1m1 (8, C1m1) | <2> | 2c, 2b, -a - 2c | |
| A1m1 (8, C1m1) | <2 + (0, 1, 0)> | 2c, 2b, -a - 2c | 0, 1/2, 0 |
[2] a' = 2a, b' = 2b, c' = 2c
| F1m1 (8, C1m1) | <2> | 2a, 2b, -a + c | |
| F1m1 (8, C1m1) | <2 + (0, 1, 0)> | 2a, 2b, -a + c | 0, 1/2, 0 |
[3] b' = 3b
 | P1m1 (6) | <2> | a, 3b, c | | | P1m1 (6) | <2 + (0, 2, 0)> | a, 3b, c | 0, 1, 0 | | P1m1 (6) | <2 + (0, 4, 0)> | a, 3b, c | 0, 2, 0 |
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[3] c' = 3c
[3] a' = a - c, c' = 3c
[3] a' = a - 2c, c' = 3c
[3] a' = 3a
- Series of maximal isomorphic subgroups
[p] b' = pb
| P1m1 (6) | <2 + (0, 2u, 0)> | a, pb, c | 0, u, 0 | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
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[p] a' = a - qc, c' = pc
| P1m1 (6) | <2> | a - qc, b, pc | | | | p > 1; 0 ≤ q < p
no conjugate subgroups |
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[p] a' = pa
| P1m1 (6) | <2> | pa, b, c | | | | p > 1
no conjugate subgroups |
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I Minimal translationengleiche supergroups
| [2] P12/m1 (10); [2] P121/m1 (11); [2] Pmm2 (25); [2] Pmc21 (26); [2] Pma2 (28); [2] Pmn21 (31); [2] Amm2 (38); [2] Ama2 (40); [3] P-6 (174) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] C1m1 (8); [2] A1m1 (8, C1m1); [2] I1m1 (8, C1m1) |
UNIQUE AXIS c
Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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I Maximal translationengleiche subgroups
II Maximal klassengleiche subgroups
[2] c' = 2c
| P11m (6) | <2> | a, b, 2c | |
| P11m (6) | <2 + (0, 0, 1)> | a, b, 2c | 0, 0, 1/2 |
[2] a' = 2a
| P11a (7) | <2 + (1, 0, 0)> | 2a, b, c | |
| P11m (6) | <2> | 2a, b, c | |
[2] b' = 2b
| P11b (7, P11a) | <2 + (0, 1, 0)> | 2b, -a - 2b, c | |
| P11m (6) | <2> | a, 2b, c | |
[2] a' = 2a, b' = 2b
| C11e (7, P11a) | <2 + (1, 0, 0)> | 2a, -a + b, c | |
| C11m (6, P11m) | <2> | 2a, -a + b, c | |
[2] b' = 2b, c' = 2c
| A11m (8) | <2> | a, 2b, 2c | |
| A11m (8) | <2 + (0, 0, 1)> | a, 2b, 2c | 0, 0, 1/2 |
[2] a' = 2a, c' = 2c
| B11m (8, A11m) | <2> | -2a - b, 2a, 2c | |
| B11m (8, A11m) | <2 + (0, 0, 1)> | -2a - b, 2a, 2c | 0, 0, 1/2 |
[2] a' = 2a, b' = 2b, c' = 2c
| F11m (8, A11m) | <2> | a - b, 2b, 2c | |
| F11m (8, A11m) | <2 + (0, 0, 1)> | a - b, 2b, 2c | 0, 0, 1/2 |
[3] c' = 3c
| P11m (6) | <2> | a, b, 3c | | | P11m (6) | <2 + (0, 0, 2)> | a, b, 3c | 0, 0, 1 | | P11m (6) | <2 + (0, 0, 4)> | a, b, 3c | 0, 0, 2 |
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[3] a' = 3a
[3] a' = 3a, b' = -a + b
[3] a' = 3a, b' = -2a + b
| P11m (6) | <2> | 3a, -2a + b, c | |
[3] b' = 3b
- Series of maximal isomorphic subgroups
[p] c' = pc
| P11m (6) | <2 + (0, 0, 2u)> | a, b, pc | 0, 0, u | | | p > 2; 0 ≤ u < p
p conjugate subgroups for the prime p |
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[p] a' = pa, b' = -qa + b
| P11m (6) | <2> | pa, -qa + b, c | | | | p > 1; 0 ≤ q < p
no conjugate subgroups |
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[p] b' = pb
| P11m (6) | <2> | a, pb, c | | | | p > 1
no conjugate subgroups |
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I Minimal translationengleiche supergroups
| [2] P112/m (10); [2] P1121/m (11); [2] Pmm2 (25); [2] Pmc21 (26); [2] Pma2 (28); [2] Pmn21 (31); [2] Amm2 (38); [2] Ama2 (40); [3] P-6 (174) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] A11m (8); [2] B11m (8, A11m); [2] I11m (8, A11m) |
