Pma2 No. 28 C2v4


Axes Coordinates Wyckoff positions
2a 2b 2c 4d
I Maximal translationengleiche subgroups
[2] P1a1 (7) 2a 2a 2a 2 × 2a
[2] Pm11 (6) x + (1/4), y, z 2c 2c 1a; 1b 2 × 2c
[conventional setting]P1m1 c, a, b z, x + (1/4), y
[2] P112 (3) 1a; 1b 1c; 1d 2e 2 × 2e
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Aea2 (41) a, 2b, 2c x, (1/2)y, (1/2)z; +(0, (1/2), 0) 2 × 4a 8b 8b 2 × 8b
[2] Aea2 (41) a, 2b, 2c x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0) 8b 2 × 4a 8b 2 × 8b
[2] Ama2 (40) a, 2b, 2c x, (1/2)y, (1/2)z; +(0, (1/2), 0) 2 × 4a 8c 2 × 4b 2 × 8c
[2] Ama2 (40) a, 2b, 2c x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0) 8c 2 × 4a 2 × 4b 2 × 8c
[2] Pba2 (32) a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a; 2b 4c 4c 2 × 4c
[2] Pba2 (32) a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4c 2a; 2b 4c 2 × 4c
[2] Pmn21 (31) a, b, 2c x + (1/4), y, (1/2)z; +(0, 0, (1/2)) 4b 4b 2 × 2a 2 × 4b
[2] Pcn2 (30) a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2 × 2a 2 × 2b 4c 2 × 4c
[conventional setting]Pnc2 b, -a, 2c y, -x, (1/2)z +(0, 0, (1/2))
[2] Pca21 (29) a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 4a 4a 4a 2 × 4a
   Enlarged unit cell, isomorphic
[3] Pma2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4d 2b; 4d 2c; 4d 3 × 4d
[p] Pma2 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 2a; ((p - 1)/2) × 4d 2b; ((p - 1)/2) × 4d 2c; ((p - 1)/2) × 4d p × 4d
p = prime > 2; u = 1, . . ., p - 1
[2] Pma2 a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a; 2b 4d 2 × 2c 2 × 4d
[2] Pma2 a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4d 2a; 2b 2 × 2c 2 × 4d
[3] Pma2 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 2a; 4d 2b; 4d 3 × 2c 3 × 4d
[p] Pma2 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 2a; ((p - 1)/2) × 4d 2b; ((p - 1)/2) × 4d p × 2c p × 4d
p = prime > 2; u = 1, . . ., p - 1
[2] Pma2 a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2 × 2a 2 × 2b 2 × 2c 2 × 4d
[3] Pma2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 2a 3 × 2b 3 × 2c 3 × 4d
[p] Pma2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 2a p × 2b p × 2c p × 4d
p = prime; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
P2mb A → B a→ b → c → a a → b → c → a x→ y → z → x
Pc2m A → C a← b ← c ← a a← b ← c ← a x← y ← z ← x
Pbm2 A→ B a<-> b a<-> -b x<-> -y
P2cm A→ C a<-> c a<-> -c x<-> -z
Pm2a b<-> c b<-> -c y<-> -z









































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