P-4b2 No. 117 D2d7


Axes Coordinates Wyckoff positions
2a 2b 2c 2d 4e 4f
4g 4h 8i
I Maximal translationengleiche subgroups
[2] P-4 (81) 1a; 1c 1b; 1d 2g 2g 2e; 2f 2 × 2g
4h 4h 2 × 4h
[2] Pba2 (32) 2a 2a 2b 2b 2 × 2a 2 × 2b
4c 4c 2 × 4c
[2] C222 (21) a - b, (1/2)(x - y) + (1/4), 4k 4k 2a; 2b 2c; 2d 2 × 4k 4i; 4j
a + b, c (1/2)(x + y) + (1/4), z; 4e; 4g 4f; 4h 2 × 8l
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] P-4n2 a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a; 2b 4e 4h 2c; 2d 2 × 4e 2 × 4h
  (118) 8i 4f; 4g 2 × 8i
[2] P-4n2 a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 4e 2a; 2b 2c; 2d 4h 2 × 4e 2 × 4h
  (118) 4f; 4g 8i 2 × 8i
   Enlarged unit cell, isomorphic
[2] P-4b2 a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a; 2b 4e 2c; 2d 4f 2 × 4e 2 × 4f
4g; 4h 8i 2 × 8i
[2] P-4b2 a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 4e 2a; 2b 4f 2c; 2d 2 × 4e 2 × 4f
8i 4g; 4h 2 × 8i
[3] P-4b2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)); 2a; 4e 2b; 4e 2c; 4f 2d; 4f 3 × 4e 3 × 4f
4g; 8i 4h; 8i 3 × 8i
[p] P-4b2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 2a; ((p - 1)/2) × 4e 2b; ((p - 1)/2) × 4e 2c; ((p - 1)/2) × 4f 2d; ((p - 1)/2) × 4f p × 4e p × 4f
p = prime > 2; 4g; ((p - 1)/2) × 8i 4h; ((p - 1)/2) × 8i p × 8i
u = 1, . . ., p - 1
[9] P-4b2 3a, 3b, c (1/3)x, (1/3)y, z; 2a; 2 × 8i 2b; 2 × 8i 2c; 2 × 4g; 8i 2d; 2 × 4h; 8i 4e; 4 × 8i 4f; 4 × 8i
±((1/3), 0, 0); ±(0, (1/3), 0); 3 × 4g; 3 × 8i 3 × 4h; 3 × 8i 9 × 8i
±((1/3), (1/3), 0); ±((1/3), (2/3), 0)
[p2] P-4b2 pa, pb, c (1/p)x, (1/p)y, z; +((u/p), (v/p), 0) 2a; ((p2 - 1)/4) × 8i 2b; ((p2 - 1)/4) × 8i 2c; (p - 1) × 4g; 2d; (p - 1) × 4h; 4e; ((p2 - 1)/2) × 8i 4f; ((p2 - 1)/2) × 8i
p = prime > 2; (((p - 1)2)/4) × 8i (((p - 1)2)/4) × 8i
u, v = 1, . . ., p - 1 p × 4g; ((p(p - 1))/2) × 8i p × 4h; p2 × 8i
((p(p - 1))/2) × 8i









































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