Pcc2 No. 27 C2v3


Axes Coordinates Wyckoff positions
2a 2b 2c 2d 4e
I Maximal translationengleiche subgroups
[2] Pc11 (7) 2a 2a 2a 2a 2 × 2a
[conventional setting]P1c1 b, a, -c y, x, -z
[2] P1c1 (7) 2a 2a 2a 2a 2 × 2a
[2] P112 (3) 2 × 1a 2 × 1c 2 × 1b 2 × 1d 2 × 2e
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Ccc2 (37) 2a, 2b, c (1/2)x, (1/2)y, z; +((1/2), 0, 0) 4a; 4b 8d 8d 2 × 4c 2 × 8d
[2] Ccc2 (37) 2a, 2b, c (1/2)x + (1/4), (1/2)y, z; +((1/2), 0, 0) 8d 2 × 4c 4a; 4b 8d 2 × 8d
[2] Ccc2 (37) 2a, 2b, c (1/2)x, (1/2)y + (1/4), z; +((1/2), 0, 0) 8d 4a; 4b 2 × 4c 8d 2 × 8d
[2] Ccc2 (37) 2a, 2b, c (1/2)x + (1/4), (1/2)y + (1/4), z; +((1/2), 0, 0) 2 × 4c 8d 8d 4a; 4b 2 × 8d
[2] Pcn2 (30) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2 × 2a 2 × 2b 4c 4c 2 × 4c
[conventional setting]Pnc2 b, 2a, -c y, (1/2)x, -z; +(0, (1/2), 0)
[2] Pcn2 (30) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 4c 4c 2 × 2a 2 × 2b 2 × 4c
[conventional setting]Pnc2 b, 2a, -c y, (1/2)x + (1/4), -z; +(0, (1/2), 0)
[2] Pnc2 (30) a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2 × 2a 4c 2 × 2b 4c 2 × 4c
[2] Pnc2 (30) a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4c 2 × 2a 4c 2 × 2b 2 × 4c
   Enlarged unit cell, isomorphic
[2] Pcc2 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a; 2c 2b; 2d 4e 4e 2 × 4e
[2] Pcc2 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 4e 4e 2a; 2c 2b; 2d 2 × 4e
[3] Pcc2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4e 2b; 4e 2c; 4e 2d; 4e 3 × 4e
[p] Pcc2 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 2a; ((p - 1)/2) × 4e 2b; ((p - 1)/2) × 4e 2c; ((p - 1)/2) × 4e 2d; ((p - 1)/2) × 4e p × 4e
p = prime > 2; u = 1, . . ., p - 1
[2] Pcc2 a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a; 2b 4e 2c; 2d 4e 2 × 4e
[2] Pcc2 a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4e 2a; 2b 4e 2c; 2d 2 × 4e
[3] Pcc2 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 2a; 4e 2b; 4e 2c; 4e 2d; 4e 3 × 4e
[p] Pcc2 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 2a; ((p - 1)/2) × 4e 2b; ((p - 1)/2) × 4e 2c; ((p - 1)/2) × 4e 2d; ((p - 1)/2) × 4e p × 4e
p = prime > 2; u = 1, . . ., p - 1
[3] Pcc2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 2a 3 × 2b 3 × 2c 3 × 2d 3 × 4e
[p] Pcc2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 2a p × 2b p × 2c p × 2d p × 4e
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
P2aa CA abca abca xyzx
Pb2b CB abca abca xyzx










































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