P4/ncc No. 130 P4/n21/c2/c D4h8


Axes Coordinates Wyckoff positions
origin 1 origin 2 4a 4b 4c 8d 8e
8f 16g
I Maximal translationengleiche subgroups
[2] P-4c2 (116) x + (1/4), y - (1/4), z 2a; 2b 2c; 2d 4i 8j 4g; 4h
4e; 4f 2 × 8j
[2] P-421c(114) x + (1/4), y - (1/4), z 4c 2a; 2b 4d 8e 2 × 4c
8e 2 × 8e
[2] P4cc (103) x + (1/2), y, z x + (1/4), y + (1/4), z 4c 4c 2a; 2b 8d 2 × 4c
8d 2 × 8d
[2] P4212 (90) x, y, z + (1/4) x + (1/4), y - (1/4), 2a; 2b 4d 2 × 2c 8g 2 × 4d
z + (1/4) 4e; 4f 2 × 8g
[2] P4/n (85) 4f 2a; 2b 2 × 2c 4d; 4e 2 × 4f
8g 2 × 8g
[2] Pccn (56) x + (1/4), y - (1/4), z 4d 4d 4c 4a; 4b 2 × 4d
8e 2 × 8e
[2] Ccce (68) a + b, (1/2)(x + y), (1/2)(x + y), 4a; 4b 8g 8h 8c; 8d 2 × 8g
-a + b, c (1/2)(-x + y), z + (1/4) (1/2)(-x + y), z 8e; 8f 2 × 16i
II Maximal klassengleiche subgroups
   Enlarged unit cell, isomorphic
[3] P4/ncc a, b, 3c x, y, (1/3)z; x, y, (1/3)z; 4a; 8e 4b; 8e 3 × 4c 8d; 16g 3 × 8e
±(0, 0, (1/3)) ±(0, 0, (1/3)) 8f; 16g 3 × 16g
[p] P4/ncc a, b, pc x, y, (1/p)z; x, y, (1/p)z; 4a; ((p - 1)/2) × 8e 4b; ((p - 1)/2) × 8e p × 4c 8d; ((p - 1)/2) × 16g p × 8e
+(0, 0, (u/p)) +(0, 0, (u/p)) 8f; ((p - 1)/2) × 16g p × 16g
p = prime > 2; u = 1, . . ., p - 1
[9] P4/ncc 3a, 3b, c (1/3)x, (1/3)y, z; (1/3)x, (1/3)y, z; 4a; 2 × 8f; 16g 4b; 2 × 16g 4c; 2 × 16g 8d; 4 × 16g 8e; 4 × 16g
±((1/3), 0, 0); ±(0, (1/3), 0) 3 × 8f; 3 × 16g 9 × 16g
±((1/3), (1/3), 0); ±((1/3), (2/3), 0)
[p2] P4/ncc pa, pb, c (1/p)x, (1/p)y, z; (1/p)x, (1/p)y, z; 4a; (p - 1) × 8f; 4b; ((p2 - 1)/4) × 16g 4c; ((p2 - 1)/4) × 16g 8d; ((p2 - 1)/2) × 16g 8e; ((p2 - 1)/2) × 16g
+((u/p), (v/p), 0) +((u/p), (v/p), 0) (((p - 1)2)/4) × 16g
p = prime > 2; u, v = 1, . . ., p - 1 p × 8f; p2 × 16g
((p(p - 1))/2) × 16g









































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