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Axes |
Coordinates |
Wyckoff positions |
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2a |
2b |
4c |
4d |
8e |
| I Maximal translationengleiche subgroups |
| [2] P-4 (81) |
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1a; 1d |
1b; 1c |
2e; 2f |
2 × 2g |
2 × 4h |
| [2] P21212 (18) |
|
x, y, z + (1/4) |
2a |
2a |
2 × 2a |
2 × 2b |
2 × 4c |
| [2] Ccc2 (37) |
a - b, a + b, c |
(1/2)(x - y) + (1/4), (1/2)(x + y) + (1/4), z |
4c |
4c |
2 × 4c |
4a; 4b |
2 × 8d |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, isomorphic |
| [3] P-421c |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
2a; 4c |
2b; 4c |
3 × 4c |
3 × 4d |
3 × 8e |
| [p] P-421c |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
2a; ((p - 1)/2) × 4c |
2b; ((p - 1)/2) × 4c |
p × 4c |
p × 4d |
p × 8e |
|
p = prime > 2; u = 1, . . ., p - 1 |
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| [9] P-421c |
3a, 3b, c |
(1/3)x, (1/3)y, z; ±((1/3), 0, 0); ±(0, (1/3), 0); |
2a; 2 × 8e |
2b; 2 × 8e |
4c; 4 × 8e |
4d; 4 × 8e |
9 × 8e |
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±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
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| [p2] P-421c |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
2a; ((p2 - 1)/4) × 8e |
2b; ((p2 - 1)/4) × 8e |
4c; ((p2 - 1)/2) × 8e |
4d; ((p2 - 1)/2) × 8e |
p2 × 8e |
|
p = prime > 2; u, v = 1, . . ., p - 1 |
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