P4bm No. 100 C4v2


Axes Coordinates Wyckoff positions
2a 2b 4c 8d
I Maximal translationengleiche subgroups
[2] P4 (75) 1a; 1b 2c 4d 2 × 4d
[2] Pba2 (32) 2a 2b 4c 2 × 4c
[2] Cmm2 (35) a - b, a + b, c (1/2)(x - y) + (1/4), (1/2)(x + y) + (1/4), z 4c 2a; 2b 4d; 4e 2 × 8f
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] P42bc (106) a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 4a 4b 8c 2 × 8c
[2] P4nc (104) a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2 × 2a 4b 8c 2 × 8c
[2] P42nm (102) a, b, 2c x + (1/2), y, (1/2)z; +(0, 0, (1/2)) 4b 2 × 2a 2 × 4c 2 × 8d
   Enlarged unit cell, isomorphic
[2] P4bm a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2 × 2a 2 × 2b 2 × 4c 2 × 8d
[3] P4bm a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 2a 3 × 2b 3 × 4c 3 × 8d
[p] P4bm a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 2a p × 2b p × 4c p × 8d
p = prime; u = 1, . . ., p - 1
[9] P4bm 3a, 3b, c (1/3)x, (1/3)y, z; ±((1/3), 0, 0); ±(0, (1/3), 0); 2a; 2 × 8d 2b; 2 × 4c; 8d 3 × 4c; 3 × 8d 9 × 8d
±((1/3), (1/3), 0); ±((1/3), (2/3), 0)
[p2] P4bm pa, pb, c (1/p)x, (1/p)y, z; +((u/p), (v/p), 0) 2a; 2b; (p - 1) × 4c; p × 4c; p2 × 8d
p = prime > 2; u, v = 1, . . ., p - 1 (1/4)(p2 - 1) × 8d (1/4)(p - 1)2 × 8d (1/2)p(p - 1) × 8d










































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