| Pm | No. 6 | Cs1 |
| P1m1 | |||||
|
UNIQUE AXIS b |
|||||
| Axes | Coordinates | Wyckoff positions | |||
| 1a | 1b | 2c | |||
| I Maximal translationengleiche subgroups | |||||
| [2] P1 (1) | 1a | 1a | 2 × 1a | ||
| II Maximal klassengleiche subgroups | |||||
| Enlarged unit cell, non-isomorphic | |||||
| [2] C1m1 (8) | 2a, 2b, c | (1/2)x, (1/2)y, z; +(0, (1/2), 0) | 2 × 2a | 4b | 2 × 4b |
| [2] C1m1 (8) | 2a, 2b, c | (1/2)x, (1/2)y + (1/4), z; +(0, (1/2), 0) | 4b | 2 × 2a | 2 × 4b |
| [2] C1m1 (8) | 2a, 2b, -a + c | (1/2)(x + z), (1/2)y, z; +(0, (1/2), 0) | 2 × 2a | 4b | 2 × 4b |
| [2] C1m1 (8) | 2a, 2b, -a + c | (1/2)(x + z), (1/2)y + (1/4), z; | 4b | 2 × 2a | 2 × 4b |
| [2] A1m1 (8) | a, 2b, 2c | x, (1/2)y, (1/2)z; +(0, (1/2), 0); | 2 × 2a | 4b | 2 × 4b |
| [2] A1m1 (8) | a, 2b, 2c | x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0) | 4b | 2 × 2a | 2 × 4b |
| [2] P1a1 (7) | 2a, b, c | (1/2)x, y, z; +((1/2), 0, 0) | 2a | 2a | 2 × 2a |
| [2] P1c1 (7) | a, b, 2c | x, y, (1/2)z; +(0, 0, (1/2)) | 2a | 2a | 2 × 2a |
| [2] P1c1 (7) | a - c, b, 2c | x, y, (1/2)(x + z); +(0, 0, (1/2)) | 2a | 2a | 2 × 2a |
| Enlarged unit cell, isomorphic | |||||
| [2] P1m1 | a, 2b, c | x, (1/2)y, z; +(0, (1/2), 0) | 1a; 1b | 2c | 2 × 2c |
| [2] P1m1 | a, 2b, c | x, (1/2)y + (1/4), z; +(0, (1/2), 0) | 2c | 1a; 1b | 2 × 2c |
| [3] P1m1 | a, 3b, c | x, (1/3)y, z; ±(0, (1/3), 0) | 1a; 2c | 1b; 2c | 3 × 2c |
| [p] P1m1 | a, pb, c | x, (1/p)y, z; +(0, (u/p), 0) | 1a; ((p - 1)/2) × 2c | 1b; ((p - 1)/2) × 2c | p × 2c |
| p = prime > 2; u = 1, . . ., p - 1 | |||||
| [2] P1m1 | 2a, b, c | (1/2)x, y, z; +((1/2), 0, 0) | 2 × 1a | 2 × 1b | 2 × 2c |
| [2] P1m1 | a - c, b, a + c | (1/2)(x - z), y, (1/2)(x + z); +((1/2), 0, (1/2)) | 2 × 1a | 2 × 1b | 2 × 2c |
| [2] P1m1 | a, b, 2c | x, y, (1/2)z; +(0, 0, (1/2)) | 2 × 1a | 2 × 1b | 2 × 2c |
| [3] P1m1 | 3a, b, c | (1/3)x, y, z; ±((1/3), 0, 0) | 3 × 1a | 3 × 1b | 3 × 2c |
| [3] P1m1 | 3a, b, -a + c | (1/3)(x + z), y, z; ±((1/3), 0, 0) | 3 × 1a | 3 × 1b | 3 × 2c |
| [3] P1m1 | 3a, b, a + c | (1/3)(x - z), y, z; ±((1/3), 0, 0) | 3 × 1a | 3 × 1b | 3 × 2c |
| [3] P1m1 | a, b, 3c | x, y, (1/3)z; ±(0, 0, (1/3)) | 3 × 1a | 3 × 1b | 3 × 2c |
| [p] P1m1 | a, b, pc | x, y, (1/p)z; +(0, 0, (u/p)) | p × 1a | p × 1b | p × 2c |
| p = prime > 2; u = 1, . . ., p - 1 | |||||
| [p] P1m1 | pa, b, qa + c | (1/p)(x - qz), y, z; +((u/p), 0, 0) | p × 1a | p × 1b | p × 2c |
| p = prime > 2; u = 1, . . ., p - 1; | |||||
| -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) | |||||
| P11m | |||||
|
UNIQUE AXIS c |
|||||
| Axes | Coordinates | Wyckoff positions | |||
| 1a | 1b | 2c | |||
| I Maximal translationengleiche subgroups | |||||
| [2] P1 | 1a | 1a | 2 × 1a | ||
| II Maximal klassengleiche subgroups | |||||
| Enlarged unit cell, non-isomorphic | |||||
| [2] A11m | a, 2b, 2c | x, (1/2)y, (1/2)z; +(0, 0, (1/2)) | 2 × 2a | 4b | 2 × 4b |
| [2] A11m | a, 2b, 2c | x, (1/2)y, (1/2)z + (1/4); +(0, 0, (1/2)) | 4b | 2 × 2a | 2 × 4b |
| [2] A11m | a - b, 2b, 2c | x, (1/2)(x + y), (1/2)z; +(0, 0, (1/2)) | 2 × 2a | 4b | 2 × 4b |
| [2] A11m | a - b, 2b, 2c | x, (1/2)(x + y), (1/2)z + (1/4); +(0, 0, (1/2)) | 4b | 2 × 2a | 2 × 4b |
| [2] B11m | 2a, b, 2c | (1/2)x, y, (1/2)z; +(0, 0, (1/2)) | 2 × 2a | 4b | 2 × 4b |
| [2] B11m | 2a, b, 2c | (1/2)x, y, (1/2)z + (1/4); +(0, 0, (1/2)) | 4b | 2 × 2a | 2 × 4b |
| [2] P11b | a, 2b, c | x, (1/2)y, z; +(0, (1/2), 0) | 2a | 2a | 2 × 2a |
| [2] P11a | 2a, b, c | (1/2)x, y, z; +((1/2), 0, 0) | 2a | 2a | 2 × 2a |
| [2] P11a | 2a, -a + b, c | (1/2)(x + y), y, z; +((1/2), 0, 0) | 2a | 2a | 2 × 2a |
| Enlarged unit cell, isomorphic | |||||
| [2] P11m | a, b, 2c | x, y, (1/2)z; +(0, 0, (1/2)) | 1a; 1b | 2c | 2 × 2c |
| [2] P11m | a, b, 2c | x, y, (1/2)z + (1/4); +(0, 0, (1/2)) | 2c | 1a; 1b | 2 × 2c |
| [3] P11m | a, b, 3c | x, y, (1/3)z; ±(0, 0, (1/3)) | 1a; 2c | 1b; 2c | 3 × 2c |
| [p] P11m | a, b, pc | x, y, (1/p)z; +(0, 0, (u/p)) | 1a; ((p - 1)/2) × 2c | 1b; ((p - 1)/2) × 2c | p × 2c |
| p = prime > 2; u = 1, . . ., p - 1 | |||||
| [2] P11m | a, 2b, c | x, (1/2)y, z; +(0, (1/2), 0) | 2 × 1a | 2 × 1b | 2 × 2c |
| [2] P11m | a + b, -a + b, c | (1/2)(x + y), (1/2)(-x + y), z; +((1/2), (1/2), 0) | 2 × 1a | 2 × 1b | 2 × 2c |
| [2] P11m | 2a, b, c | (1/2)x, y, z; +((1/2), 0, 0) | 2 × 1a | 2 × 1b | 2 × 2c |
| [3] P11m | a, 3b, c | x, (1/3)y, z; ±(0, (1/3), 0) | 3 × 1a | 3 × 1b | 3 × 2c |
| [3] P11m | a - b, 3b, c | x, (1/3)(x + y), z; ±(0, (1/3), 0) | 3 × 1a | 3 × 1b | 3 × 2c |
| [3] P11m | a + b, 3b, c | x, (1/3)(-x + y), z; ±(0, (1/3), 0) | 3 × 1a | 3 × 1b | 3 × 2c |
| [3] P11m | 3a, b, c | (1/3)x, y, z; ±((1/3), 0, 0) | 3 × 1a | 3 × 1b | 3 × 2c |
| [p] P11m | pa, b, c | (1/p)x, y, z; +((u/p), 0, 0) | p × 1a | p × 1b | p × 2c |
| p = prime > 2; u = 1, . . ., p - 1 | |||||
| [p] P11m | a + qb, pb, c | x, (1/p)(-qx + y), z; +(0, (u/p), 0) | p × 1a | p × 1b | p × 2c |
| p = prime > 2; u = 1, . . ., p - 1; | |||||
| -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) | |||||
