Cmce No. 64 C2/m2/c21/e D2h18


Axes Coordinates Wyckoff positions
4a 4b 8c 8d 8e 8f 16g
I Maximal translationengleiche subgroups
[2] C2ce (41) 4a 4a 8b 2 × 4a 8b 8b 2 × 8b
[conventional setting]Aea2 c, -b, a z, -y, x
[2] Cm2e (39) x + (1/4), y, z + (1/4) 4c 4c 8d 8d 4a; 4b 2 × 4c 2 × 8d
[conventional setting]Aem2 c, a, b z + (1/4), x + (1/4), y
[2] Cmc21 (36) x, y + (1/4), z 4a 4a 8b 8b 8b 2 × 4a 2 × 8b
[2] C2221 (20) x + (1/4), y, z 4a 4a 8c 2 × 4a 2 × 4b 8c 2 × 8c
[2] C2/m11 (12) 2a; 2d 2b; 2c 4e; 4f 4g; 4h 8j 2 × 4i 2 × 8j
[conventional setting]C12/m1 b, -a, c y, -x, z
[2] C12/c1 (15) x + (1/4), y + (1/4), z 4c 4d 4a; 4b 8f 2 × 4e 8f 2 × 8f
[2] P1121/a (14) a, (1/2)(-a + b), c x + y, 2y, z 2a 2c 2b; 2d 4e 4e 4e 2 × 4e
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pmnb (62) x + (1/4), y + (1/4), z 4c 4c 4a; 4b 8d 8d 2 × 4c 2 × 8d
[conventional setting]Pnma b, -a, c y + (1/4), -x - (1/4), z
[2] Pbca (61) 4a 4b 8c 8c 8c 8c 2 × 8c
[2] Pbna (60) x + (1/4), y + (1/4), z 4c 4c 4a; 4b 2 × 4c 8d 8d 2 × 8d
[conventional setting]Pbcn c, a, b z, x + (1/4), y + (1/4)
[2] Pmca (57) x + (1/4), y + (1/4), z 4d 4d 4a; 4b 8e 2 × 4c 2 × 4d 2 × 8e
[conventional setting]Pbcm b, c, a y + (1/4), z, x + (1/4)
[2] Pbnb (56) 4a 4b 8e 8e 4c; 4d 8e 2 × 8e
[conventional setting]Pccn c, a, b z, x, y
[2] Pmcb (55) 2a; 2d 2b; 2c 8i 4e; 4f 8i 4g; 4h 2 × 8i
[conventional setting]Pbam b, c, a y, z, x
[2] Pbcb (54) x + (1/4), y + (1/4), z 4c 4c 4a; 4b 2 × 4c 4d; 4e 8f 2 × 8f
[conventional setting]Pcca c, a, b z, x + (1/4), y + (1/4)
[2] Pmna (53) 2a; 2c 2b; 2d 8i 4e; 4f 2 × 4g 2 × 4h 2 × 8i
   Enlarged unit cell, isomorphic
[3] Cmce 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8d 4b; 8d 8c; 16g 3 × 8d 8e; 16g 8f; 16g 3 × 16g
[p] Cmce pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; 4b; 8c; p × 8d 8e; 8f; p × 16g
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8d ((p - 1)/2) × 8d ((p - 1)/2) × 16g ((p - 1)/2) × 16g ((p - 1)/2) × 16g
[3] Cmce a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 8c; 16g 8d; 16g 3 × 8e 3 × 8f 3 × 16g
[p] Cmce a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; 4b; 8c; 8d; p × 8e p × 8f p × 16g
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f ((p - 1)/2) × 16g ((p - 1)/2) × 16g
[3] Cmce a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 8c; 16g 8d; 16g 8e; 16g 3 × 8f 3 × 16g
[p] Cmce a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; 4b; 8c; 8d; 8e; p × 8f p × 16g
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f ((p - 1)/2) × 16g ((p - 1)/2) × 16g ((p - 1)/2) × 16g


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
Aema C → A; A → B a→ b → c → a a→ b → c → a x→ y → z → x
Bbem C → B; A → C a← b ← c ← a a← b ← c ← a x← y ← z ← x
Ccme A→ B a<-> b a<-> -b x<-> -y
Aeam A<-> C a<-> c a<-> -c x<-> -z
Bmeb C→ B b<-> c b<-> -c y<-> -z









































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