Generators selected (1); t(1, 0); t(0, 1); (2); (4)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | (1) x, y | (2) -y, x - y | (3) -x + y, -x | | (4) -y, -x | (5) -x + y, y | (6) x, x - y |
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I Maximal translationengleiche subgroups
| [2] p311 (13, p3) | 1; 2; 3 |
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 | [3] p1m1 (5, cm) | 1; 4 | a + b, -a + b
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| | [3] p1m1 (5, cm) | 1; 5 | -a, -a - 2b
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| | [3] p1m1 (5, cm) | 1; 6 | -b, 2a + b
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II Maximal klassengleiche subgroups
[3] a' = 3a, b' = 3b
| h3m1 (15, p31m) | <2; 4> | a - b, a + 2b | | | h3m1 (15, p31m) | <2 + (1, -1); 4 + (1, 1)> | a - b, a + 2b | 1, 0 | | h3m1 (15, p31m) | <2 + (2, -2); 4 + (2, 2)> | a - b, a + 2b | 2, 0 |
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| h3m1 (15, p31m) | <4; 2 + (0, 1)> | a - b, a + 2b | -1/3, 1/3 | | h3m1 (15, p31m) | <2 + (1, 0); 4 + (1, 1)> | a - b, a + 2b | 2/3, 1/3 | | h3m1 (15, p31m) | <2 + (2, -1); 4 + (2, 2)> | a - b, a + 2b | 5/3, 1/3 |
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| h3m1 (15, p31m) | <4; 2 + (0, 2)> | a - b, a + 2b | -2/3, 2/3 | | h3m1 (15, p31m) | <(2; 4) + (1, 1)> | a - b, a + 2b | 1/3, 2/3 | | h3m1 (15, p31m) | <2 + (2, 0); 4 + (2, 2)> | a - b, a + 2b | 4/3, 2/3 |
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[4] a' = 2a, b' = 2b
 | p3m1 (14) | <2; 4> | 2a, 2b | | | p3m1 (14) | <2 + (1, -1); 4 + (1, 1)> | 2a, 2b | 1, 0 | | p3m1 (14) | <2 + (1, 2); 4 + (1, 1)> | 2a, 2b | 0, 1 | | p3m1 (14) | <2 + (2, 1); 4 + (2, 2)> | 2a, 2b | 1, 1 |
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- Series of maximal isomorphic subgroups
[p2] a' = pa, b' = pb
| p3m1 (14) | <2 + (u + v, -u + 2v); 4 + (u + v, u + v)> | pa, pb | u, v |
| | p > 1; p ≠ 3; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups for the prime p |
I Minimal translationengleiche supergroups
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
