Ccce No. 68 C2/c2/c2/e D2h22


Axes Coordinates Wyckoff positions
origin 1 origin 2 4a 4b 8c 8d 8e 8f 8g 8h 16i
I Maximal translationengleiche subgroups
[2] C2ce (41) x, y + (1/4), z + (1/4) 4a 4a 8b 8b 2 × 4a 8b 8b 8b 2 × 8b
[conventional setting]Aea2 c, -b, a z, -y, x z + (1/4), -y - (1/4), x
[2] Cc2e (41) x, y, z + (1/4) 4a 4a 8b 8b 8b 2 × 4a 8b 8b 2 × 8b
[conventional setting]Aea2 c, a, b z, y, x z + (1/4), x, y
[2] Ccc2 (37) x + (1/4), y + (1/4), z x + (1/4), y, z 4c 4c 8d 8d 8d 8d 2 × 4c 4a; 4b 2 × 8d
[2] C222 (21) x, y + (1/4), z + (1/4) 2a; 2c 2b; 2d 8l 8l 4e; 4f 4g; 4h 4i; 4j 2 × 4k 2 × 8l
[2] C2/c11 (15) x + (1/4), y, z + (1/4) x + (1/4), y + (1/4), z 4e 4e 4a; 4b 4c; 4d 2 × 4e 8f 8f 8f 2 × 8f
[conventional setting]C12/c1 b, -a, c y, -x - (1/4), z + (1/4) y + (1/4), -x - (1/4), z
[2] C12/c1 (15) x, y + (1/4), z + (1/4) 4e 4e 4c; 4d 4a; 4b 8f 2 × 4e 8f 8f 2 × 8f
[2] P112/a (13) a, (1/2)(-a + b), c x + y + (1/4), x + y, 2y, z 2f(e*) 2f(e*) 2b(a*); 2a(b*); 4g 4g 2 × 2f(e*) 2 × 2e(f*) 2 × 4g
2y, z + (1/4) 2d(c*) 2c(d*)
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pcnb (60) x, y + (1/4), z + (1/4) 4c 4c 8d 4a; 4b 8d 8d 2 × 4c 8d 2 × 8d
[conventional setting]Pbcn a, -c, b x, -z - (1/4), y + (1/4) x, -z, y
[2] Pnca (60) x + (1/4), y, z + (1/4) x + (1/4), y + (1/4), z 4c 4c 4a; 4b 8d 8d 8d 2 × 4c 8d 2 × 8d
[conventional setting]Pbcn b, c, a y, z + (1/4), x + (1/4) y + (1/4), z, x + (1/4)
[2] Pcca (54) x, y + (1/4), z + (1/4) 4c 4c 8f 4a; 4b 8f 2 × 4c 8f 4d; 4e 2 × 8f
[2] Pccb (54) x + (1/4), y, z + (1/4) x + (1/4), y + (1/4), z 4c 4c 4a; 4b 8f 2 × 4c 8f 8f 4d; 4e 2 × 8f
[conventional setting]Pcca b, -a, c y, -x - (1/4), z + (1/4) y + (1/4), -x - (1/4), z
[2] Pnna (52) x, y + (1/4), z + (1/4) 4d 4d 8e 4a; 4b 2 × 4d 8e 8e 2 × 4c 2 × 8e
[2] Pnnb (52) x + (1/4), y, z + (1/4) x + (1/4), y + (1/4), z 4d 4d 4a; 4b 8e 8e 2 × 4d 8e 2 × 4c 2 × 8e
[conventional setting]Pnna b, -a, c y, -x - (1/4), z + (1/4) y + (1/4), -x - (1/4), z
[2] Pncb (50) 2a; 2c 2b; 2d 8m 4e; 4f 4k; 4l 4g; 4h 4i; 4j 8m 2 × 8m
[conventional setting]Pban b, c, a y, z, x y, z, x
[2] Pcna (50) x + (1/4), y - (1/4), z 2a; 2c 2b; 2d 4e; 4f 8m 4i; 4j 4k; 4l 4g; 4h 8m 2 × 8m
[conventional setting]Pban c, a, b z, x, y z, x + (1/4), y - (1/4)
   Enlarged unit cell, isomorphic
[3] Ccce 3a, b, c (1/3)x, y, z; (1/3)x, y, z; 4a; 8e 4b; 8e 8c; 16i 8d; 16i 3 × 8e 8f; 16i 8g; 16i 8h; 16i 3 × 16i
±((1/3), 0, 0) ±((1/3), 0, 0)
[p] Ccce pa, b, c (1/p)x, y, z; (1/p)x, y, z; 4a; 4b; 8c; 8d; p × 8e 8f; 8g; 8h; p × 16i
+((u/p), 0, 0) +((u/p), 0, 0) ((p - 1)/2) × 8e ((p - 1)/2) × 8e ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i
p = prime > 2; u = 1, . . ., p - 1
[3] Ccce a, 3b, c x, (1/3)y, z; x, (1/3)y, z; 4a(b*); 8f 4b(a*); 8f 8c; 16i 8d; 16i 8e; 16i 3 × 8f 8g; 16i 8h; 16i 3 × 16i
±(0, (1/3), 0) ±(0, (1/3), 0)
[p] Ccce a, pb, c x, (1/p)y, z; x, (1/p)y, z; 4a(b† ); 4b(a† ); 8c; 8d; 8e; p × 8f 8g; 8h; p × 16i
+(0, (u/p), 0) +(0, (u/p), 0) ((p - 1)/2) × 8f ((p - 1)/2) × 8f ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i
p = prime > 2; u = 1, . . ., p - 1
[3] Ccce a, b, 3c x, y, (1/3)z; x, y, (1/3)z; 4a(b*); 8g 4b(a*); 8g 8c; 16i 8d; 16i 8e; 16i 8f; 16i 3 × 8g 3 × 8h 3 × 16i
±(0, 0, (1/3)) ±(0, 0, (1/3))
[p] Ccce a, b, pc x, y, (1/p)z; x, y, (1/p)z; 4a(b† ); 4b(a† ); 8c; 8d; 8e; 8f; p × 8g p × 8h p × 16i
+(0, 0, (u/p)) +(0, 0, (u/p)) ((p - 1)/2) × 8g ((p - 1)/2) × 8g ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i ((p - 1)/2) × 16i
p = prime > 2; u = 1, . . ., p - 1
 * origin 2
 † origin 2 and p = 4n - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
Aeaa C → A→ B a→ b → c → a a→ b → c → a x→ y → z → x
Bbeb A→ C→ B a← b ← c ← a a← b ← c ← a x← y ← z ← x









































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