P6/mcc No. 192 P6/m2/c2/c D6h2


Axes Coordinates Wyckoff positions 
  2a 2b 4c 4d 4e 6f 6g
8h 12i 12j 12k 12l 24m
I Maximal translationengleiche subgroups
[2] P-62c x, y, z + (1/4) 2a 2b 4f 2c; 2d 4e 6g 6h
  (190) 2 × 4f 12i 2 × 6g 12i 2 × 6h 2 × 12i
[2] P-6c2 x, y, z + (1/4) 2a 2b 2c; 2e 2d; 2f 4g 6j 6k
  (188) 4h; 4i 12l 12l 2 × 6j 2 × 6k 2 × 12l
[2] P6cc 2a 2a 4b 4b 2 × 2a 6c 6c
  (184) 2 × 4b 2 × 6c 12d 12d 12d 2 × 12d
[2] P622 x, y, z + (1/4) 1a; 1b 2e 2c; 2d 4h 2 × 2e 3f; 3g 6i
  (177) 2 × 4h 2 × 6i 6j; 6k 6l; 6m 12n 2 × 12n
[2] P6/m 2e 1a; 1b 4h 2c; 2d 2 × 2e 6i 3f; 3g
  (175) 2 × 4h 2 × 6i 12l 12l 6j; 6k 2 × 12l
[2] P-3c1 2a 2b 4d 4d 4c 6f 6e
  (165) 2 × 4d 12g 2 × 6f 12g 12g 2 × 12g
[2] P-31c 2a 2b 2c; 2d 4f 4e 6h 6g
  (163) 2 × 4f 12i 12i 2 × 6h 12i 2 × 12i
[3] Cccm a, a + 2b, c x - (1/2)y, (1/2)y, z 4a 4c 8h 8l 8i 4b; 8k 4d; 4e; 4f
  (66) 16m 8j; 2 × 8k 8g; 16m 8h; 16m 3 × 8l 3 × 16m
 conjugate: b, -2a - b, c -(1/2)x + y, -(1/2)x, z
 conjugate: -a - b, a - b, c  - (1/2)(x + y), (1/2)(x - y), z
II Maximal klassengleiche subgroups
   Enlarged unit cell, isomorphic
[3] P6/mcc a, b, 3c x, y, (1/3)z; 2a; 4e 2b; 4e 4c; 8h 4d; 8h 3 × 4e 6f; 12i 6g; 12i
±(0, 0, (1/3)) 3 × 8h 3 × 12i 12j; 24m 12k; 24m 12l; 24m 3 × 24m
[p] P6/mcc a, b, pc x, y, (1/p)z; 2a; ((p - 1)/2) × 4e 2b; ((p - 1)/2) × 4e 4c; ((p - 1)/2) × 8h 4d; ((p - 1)/2) × 8h p × 4e 6f; ((p - 1)/2) × 12i 6g; ((p - 1)/2) × 12i
+(0, 0, (u/p)) p × 8h p × 12i 12j; 12k; 12l; p × 24m
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 24m ((p - 1)/2) × 24m ((p - 1)/2) × 24m
[3] P6/mcc 2a + b, (1/3)(x + y), 2a; 4c 2b; 4d 12j 12l 4e; 8h 6f; 12k 6g; 12l
-a + b, c (1/3)(-x + 2y), z; 24m 12i; 24m 3 × 12k 12j; 24m 3 × 12l 3 × 24m
±((1/3), (2/3), 0)
[4] P6/mcc 2a, 2b, c (1/2)x, (1/2)y, z; 2a; 6f 2b; 6g 4c; 12k 4d; 12l 4e; 12i 12j; 12k 2 × 12l
+((1/2), 0, 0); 8h; 24m 2 × 24m 2 × 12j; 24m 2 × 12k; 24m 4 × 12l 4 × 24m
+(0, (1/2), 0); +((1/2), (1/2), 0)
[p2] P6/mcc pa, pb, c (1/p)x, (1/p)y, z; 2a; ((p - 1)/2) × 12j; 2b; 4c; 4d; 4e; 6f; 6g;
+((u/p), (v/p), 0) ((p - 1)/2) × 12k; ((p2 - 1)/6) × 12l (p - 1) × 12k; ((p2 - 1)/3) × 12l ((p2 - 1)/6) × 24m ((p - 1)/2) × 12j; ((p2 - 1)/2) × 12l
p = prime > 4; (((p - 1)(p - 5))/12) × (((p - 1)(p - 2))/6) × ((p - 1)/2) × 12k;
u, v = 1, . . ., p - 1 24m 24m (((p - 1)2)/4) × 24m
8h; 12i; p × 12j; p × 12k; p2 × 12l p2 × 24m
((p2 - 1)/3) × 24m ((p2 - 1)/2) × 24m ((p(p - 1))/2) × ((p(p - 1))/2) ×
24m 24m









































to end of page
to top of page