Origin on 4 1 g
| Asymmetric unit | 0 ≤ x ≤ 1/2; 0 ≤ y ≤ 1/2; 0 ≤ z ≤ 1; y ≤ 1/2 - x |
| (1) 1 | (2) 2 0, 0, z | (3) 4+ 0, 0, z | (4) 4- 0, 0, z |
| (5) a x, 1/4, z | (6) b 1/4, y, z | (7) m x + 1/2, -x, z | (8) g(1/2, 1/2, 0) x, x, z |
Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3); (5)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates | Reflection conditions |
| | | General:
|
| | (1) x, y, z | (2) -x, -y, z | (3) -y, x, z | (4) y, -x, z | | (5) x + 1/2, -y + 1/2, z | (6) -x + 1/2, y + 1/2, z | (7) -y + 1/2, -x + 1/2, z | (8) y + 1/2, x + 1/2, z |
| 0kl : k = 2n
h00 : h = 2n
|
| | | Special: as above, plus
|
| | x, x + 1/2, z | -x, -x + 1/2, z | -x + 1/2, x, z | x + 1/2, -x, z |
| no extra conditions |
| | hkl : h + k = 2n
|
| | hkl : h + k = 2n
|
Symmetry of special projections
Along [001] p4gm
a' = a b' = b
Origin at 0, 0, z | Along [100] p1m1
a' = 1/2b b' = c
Origin at x, 0, 0 | Along [110] p1m1
a' = 1/2(-a + b) b' = c
Origin at x, x, 0 |
Maximal non-isomorphic subgroups
| I | | [2] P411 (P4, 75) | 1; 2; 3; 4 |
| | | [2] P21m (Cmm2, 35) | 1; 2; 7; 8 |
| | | [2] P2b1 (Pba2, 32) | 1; 2; 5; 6 |
| IIb | [2] P42bc (c' = 2c) (106); [2] P4nc (c' = 2c) (104); [2] P42nm (c' = 2c) (102) |
Maximal isomorphic subgroups of lowest index
| IIc | [2] P4bm (c' = 2c) (100); [9] P4bm (a' = 3a, b' = 3b) (100) |
Minimal non-isomorphic supergroups
| I | [2] P4/nbm (125); [2] P4/mbm (127) |
| II | [2] C4mm (P4mm, 99); [2] I4cm (108) |
