Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/2, 1/2, 1/2); (2); (3); (5)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
|
| | (0, 0, 0)+ (1/2, 1/2, 1/2)+ |
| | (1) x, y, z | (2) -x + 1/2, -y, z + 1/2 | (3) -x, y + 1/2, -z + 1/2 | (4) x + 1/2, -y + 1/2, -z | | (5) z, x, y | (6) z + 1/2, -x + 1/2, -y | (7) -z + 1/2, -x, y + 1/2 | (8) -z, x + 1/2, -y + 1/2 | | (9) y, z, x | (10) -y, z + 1/2, -x + 1/2 | (11) y + 1/2, -z + 1/2, -x | (12) -y + 1/2, -z, x + 1/2 |
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I Maximal translationengleiche subgroups
| [3] I211 (24, I212121) | (1; 2; 3; 4)+ |
|
|
 | [4] I13 (146, R3) | (1; 5; 9)+ | -a + b, -b + c, 1/2(a + b + c)
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| | [4] I13 (146, R3) | (1; 6; 12)+ | a + b, -b - c, 1/2(-a + b - c)
| 0, 1/2, 1/2
| | [4] I13 (146, R3) | (1; 7; 10)+ | -a - b, b - c, 1/2(a - b - c)
| 1/2, 1/2, 0
| | [4] I13 (146, R3) | (1; 8; 11)+ | a - b, b + c, 1/2(-a - b + c)
| 1/2, 0, 1/2
|
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II Maximal klassengleiche subgroups
- Loss of centring translations
| [2] P213 (198) | 1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12 | | |
- Series of maximal isomorphic subgroups
[p3] a' = pa, b' = pb, c' = pc
| I213 (199) | <2 + (p/2 - 1/2 + 2u, 2v, p/2 - 1/2); 3 + (2u, p/2 - 1/2, p/2 - 1/2 + 2w); 5 + (u - w, -u + v, -v + w)> | pa, pb, pc | u, v, w | | | p > 2; 0 ≤ u < p; 0 ≤ v < p; 0 ≤ w < p
p3 conjugate subgroups for the prime p |
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I Minimal translationengleiche supergroups
| [2] Ia-3 (206); [2] I4132 (214); [2] I-43d (220) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [4] a' = 1/2a, b' = 1/2b, c' = 1/2c P23 (195) |
