I-4c2 No. 120 D2d10


Axes Coordinates Wyckoff positions
4a 4b 4c 4d 8e 8f
8g 8h 16i
I Maximal translationengleiche subgroups
[2] I-4 (82) 4e 2a; 2b 2c; 2d 4f 8g 2 × 4e
2 × 4f 8g 2 × 8g
[2] Iba2 4a 4a 4b 4b 8c 2 × 4a
  (45) 2 × 4b 8c 2 × 8c
[2] F222 a - b, (1/2)(x - y), (1/2)(x + y), z + (1/4) 4a; 4b 8g 8h 4c; 4d 8e; 8f 2 × 8g
  (22) a + b, c 2 × 8h 8i; 8j 2 × 16k
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] P-4b2 4e 2a; 2b 4f 2c; 2d 8i 2 × 4e
  (117) 2 × 4f 4g; 4h 2 × 8i
[2] P-4b2 x + (1/2), y, z + (1/4) 2c; 2d 4f 2a; 2b 4e 4g; 4h 2 × 4f
  (117) 2 × 4e 8i 2 × 8i
[2] P-4c2 2a; 2b 2c; 2d 4i 4i 4e; 4f 4g; 4h
  (116) 2 × 4i 8j 2 × 8j
[2] P-4c2 x + (1/2), y, z + (1/4) 4i 4i 2c; 2d 2a; 2b 8j 2 × 4i
  (116) 4g; 4h 4e; 4f 2 × 8j
   Enlarged unit cell, isomorphic
[3] I-4c2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4c; 8g 4d; 8g 8e; 16i 3 × 8f
3 × 8g 8h; 16i 3 × 16i
[p] I-4c2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c; ((p - 1)/2) × 8g 4d; ((p - 1)/2) × 8g 8e; ((p - 1)/2) × 16i p × 8f
p = prime > 2; p × 8g 8h; ((p - 1)/2) × 16i p × 16i
u = 1, . . ., p - 1
[9] I-4c2 3a, 3b, c (1/3)x, (1/3)y, z; 4a; 2 × 8e; 16i 4b; 2 × 16i 4c; 2 × 16i 4d; 2 × 8h; 16i 3 × 8e; 3 × 16i 8f; 4 × 16i
±((1/3), 0, 0); ±(0, (1/3), 0); 8g; 4 × 16i 3 × 8h; 3 × 16i 9 × 16i
±((1/3), (1/3), 0); ±((1/3), (2/3), 0)
[p2] I-4c2 pa, pb, c (1/p)x, (1/p)y, z; +((u/p), (v/p), 0) 4a; (p - 1) × 8e; 4b; ((p2 - 1)/4) × 16i 4c; ((p2 - 1)/4) × 16i 4d; (p - 1) × 8h; p × 8e; 8f; ((p2 - 1)/2) × 16i
p = prime > 2; (((p - 1)2)/4) × 16i (((p - 1)2)/4) × 16i ((p(p - 1))/2) × 16i
u, v = 1, . . ., p - 1 8g; ((p2 - 1)/2) × 16i p × 8h; p2 × 16i
((p(p - 1))/2) × 16i









































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