C2/c No. 15 C2h6

 C 1 2/c 1 UNIQUE AXIS b CELL CHOICE 1 Axes Coordinates Wyckoff positions 4a 4b 4c 4d 4e 8f I Maximal translationengleiche subgroups [2] C1c1 (9) 4a 4a 4a 4a 4a 2 × 4a [2] C121 (5) x, y, z + (1/4) 4c 4c 4c 4c 2a; 2b 2 × 4c [2] P-1 (2) (1/2)(a - b), b, c 2x, x + y, z 1a; 1b 1c; 1g 1e; 1f 1d; 1h 2i 2 × 2i II Maximal klassengleiche subgroups Loss of centring translations [2] P121/n1 (14) 2a; 2b 2c; 2d 4e 4e 4e 2 × 4e [2] P121/c1 (14) x + (1/4), y + (1/4), z 4e 4e 2a; 2d 2b; 2c 4e 2 × 4e [2] P12/c1 (13) 2a; 2b 2c; 2d 4g 4g 2e; 2f 2 × 4g [2] P12/n1 (13) x + (1/4), y + (1/4), z 4g 4g 2a; 2b 2c; 2d 2e; 2f 2 × 4g Enlarged unit cell, isomorphic [3] C12/c1 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 3 × 4e 3 × 8f [p] C12/c1 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); p × 4e p × 8f p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f [3] C12/c1 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] C12/c1 3a, b, 2a + c (1/3)(x - 2z), y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] C12/c1 3a, b, -2a + c (1/3)(x + 2z), y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] C12/c1 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4c; 8f 4d; 8f 4e; 8f 3 × 8f [p] C12/c1 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c; ((p - 1)/2) × 8f 4d; ((p - 1)/2) × 8f 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; [p] C12/c1 pa, b, 2qa + c (1/p)(x - 2qz), y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; ((p - 1)/2) × 8f ((p - 1)/2) × 8f -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) * p = 4n - 1

Space groups of the series of isomorphic subgroups appear in different sequences for cell choices 1, 2 and 3

 A12/n1 UNIQUE AXIS b CELL CHOICE 2 Axes Coordinates Wyckoff positions 4a 4b 4c 4d 4e 8f I Maximal translationengleiche subgroups [2] A1n1 4a 4a 4a 4a 4a 2 × 4a [2] A121 x - (1/4), y, z - (1/4) 4c 4c 4c 4c 2a; 2b 2 × 4c [2] P-1 a, b, (1/2)(-b + c) x, y + z, 2z 1a; 1e 1c; 1d 1g; 1h 1b; 1f 2i 2 × 2i II Maximal klassengleiche subgroups Loss of centring translations [2] P121/a1 2a; 2b 2c; 2d 4e 4e 4e 2 × 4e [2] P121/n1 x, y + (1/4), z + (1/4) 4e 4e 2a; 2d 2b; 2c 4e 2 × 4e [2] P12/n1 2a; 2b 2c; 2d 4g 4g 2e; 2f 2 × 4g [2] P12/a1 x, y + (1/4), z + (1/4) 4g 4g 2a; 2b 2c; 2d 2e; 2f 2 × 4g Enlarged unit cell, isomorphic [3] A12/n1 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 3 × 4e 3 × 8f [p] A12/n1 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); p × 4e p × 8f p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f [3] A12/n1 a - 2c, b, 3c x, y, (1/3)(2x + z); ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] A12/n1 a + 2c, b, 3c x, y, (1/3)(-2x + z); ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] A12/n1 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] A12/n1 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4c; 8f 4d; 8f 4e; 8f 3 × 8f [p] A12/n1 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c; ((p - 1)/2) × 8f 4d; ((p - 1)/2) × 8f 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; [p] A12/n1 a + 2qc, b, pc x, y, (1/p)(-2qx + z); +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; ((p - 1)/2) × 8f ((p - 1)/2) × 8f -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) * p = 4n - 1

Space groups of the series of isomorphic subgroups appear in different sequences for cell choices 1, 2 and 3

 I12/a1 UNIQUE AXIS b CELL CHOICE 3 Axes Coordinates Wyckoff positions 4a 4b 4c 4d 4e 8f I Maximal translationengleiche subgroups I1a1 4a 4a 4a 4a 4a 2 × 4a I121 x + (1/4), y, z 4c 4c 4c 4c 2a; 2b 2 × 4c P-1 a, (1/2)(-a + b - c), c x + y, 2y, y + z 1a; 1d 1b; 1f 1c; 1g 1e; 1h 2i 2 × 2i II Maximal klassengleiche subgroups Loss of centring translations P121/c1 2a; 2b 2c; 2d 4e 4e 4e 2 × 4e P121/a1 x - (1/4), y + (1/4), z - (1/4) 4e 4e 2a; 2d 2b; 2c 4e 2 × 4e P12/a1 2a; 2b 2c; 2d 4g 4g 2e; 2f 2 × 4g P12/c1 x - (1/4), y + (1/4), z - (1/4) 4g 4g 2a; 2b 2c; 2d 2e; 2f 2 × 4g Enlarged unit cell, isomorphic I12/a1 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 3 × 4e 3 × 8f I12/a1 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); p × 4e p × 8f p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f I12/a1 a, b, 2a + 3c x - (2/3)z, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f I12/a1 3a, b, 2a + c (1/3)(x - 2z), y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f I12/a1 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f I12/a1 a - 2c, b, 3c x, y, (1/3)(2x + z); ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4c; 8f 4d; 8f 4e; 8f 3 × 8f I12/a1 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c; ((p - 1)/2) × 8f 4d; ((p - 1)/2) × 8f 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; I12/a1 a + 2qc, b, pc x, y, (1/p)(-2qx + z); +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; ((p - 1)/2) × 8f ((p - 1)/2) × 8f -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) * p = 4n - 1

Space groups of the series of isomorphic subgroups appear in different sequences for cell choices 1, 2 and 3

 A112/a UNIQUE AXIS c CELL CHOICE 1 Axes Coordinates Wyckoff positions 4a 4b 4c 4d 4e 8f I Maximal translationengleiche subgroups [2] A11a (9) 4a 4a 4a 4a 4a 2 × 4a [2] A112 (5) x + (1/4), y, z 4c 4c 4c 4c 2a; 2b 2 × 4c [2] P-1 (2) a, (1/2)(b - c), c x, 2y, y + z 1a; 1d 1b; 1f 1e; 1g 1c; 1h 2i 2 × 2i II Maximal klassengleiche subgroups Loss of centring translations [2] P1121/n (14) 2a; 2b 2c; 2d 4e 4e 4e 2 × 4e [2] P1121/a (14) x, y + (1/4), z + (1/4) 4e 4e 2a; 2d 2b; 2c 4e 2 × 4e [2] P112/a (13) 2a; 2b 2c; 2d 4g 4g 2e; 2f 2 × 4g [2] P112/n (13) x, y + (1/4), z + (1/4) 4g 4g 2a; 2b 2c; 2d 2e; 2f 2 × 4g Enlarged unit cell, isomorphic [3] A112/a a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 3 × 4e 3 × 8f [p] A112/a a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); p × 4e p × 8f p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f [3] A112/a a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] A112/a a + 2b, 3b, c x, (1/3)(-2x + y), z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] A112/a a - 2b, 3b, c x, (1/3)(2x + y), z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] A112/a 3a, b, c (1/3)x, y, z,; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4c; 8f 4d; 8f 4e; 8f 3 × 8f [p] A112/a pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c; ((p - 1)/2) × 8f 4d; ((p - 1)/2) × 8f 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; [p] A112/a a + 2qb, pb, c x, (1/p)(-2qx + y), z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; ((p - 1)/2) × 8f ((p - 1)/2) × 8f -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) * p = 4n - 1

Space groups of the series of isomorphic subgroups appear in different sequences for cell choices 1, 2 and 3

 B112/n UNIQUE AXIS c CELL CHOICE 2 Axes Coordinates Wyckoff positions 4a 4b 4c 4d 4e 8f I Maximal translationengleiche subgroups [2] B11n 4a 4a 4a 4a 4a 2 × 4a [2] B112 x - (1/4), y - (1/4), z 4c 4c 4c 4c 2a; 2b 2 × 4c [2] P-1 (1/2)(a - c), b, c 2x, y, x + z 1a; 1g 1b; 1c 1f; 1h 1d; 1e 2i 2 × 2i II Maximal klassengleiche subgroups Loss of centring translations [2] P1121/b 2a; 2b 2c; 2d 4e 4e 4e 2 × 4e [2] P1121/n x + (1/4), y, z + (1/4) 4e 4e 2a; 2d 2b; 2c 4e 2 × 4e [2] P112/n 2a; 2b 2c; 2d 4g 4g 2e; 2f 2 × 4g [2] P112/b x + (1/4), y, z + (1/4) 4g 4g 2a; 2b 2c; 2d 2e; 2f 2 × 4g Enlarged unit cell, isomorphic [3] B112/n a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 3 × 4e 3 × 8f [p] B112/n a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); p × 4e p × 8f p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f [3] B112/n 3a, -2a + b, c (1/3)(x + 2y), y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] B112/n 3a, 2a + b, c (1/3)(x - 2y), y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] B112/n 3a, b, c (1/3)z, y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f [3] B112/n a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4c; 8f 4d; 8f 4e; 8f 3 × 8f [p] B112/n a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c; ((p - 1)/2) × 8f 4d; ((p - 1)/2) × 8f 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; [p] B112/n pa, 2qa + b, c (1/p)(x - 2qy), y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; ((p - 1)/2) × 8f ((p - 1)/2) × 8f -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) * p = 4n - 1

Space groups of the series of isomorphic subgroups appear in different sequences for cell choices 1, 2 and 3

 I112/b UNIQUE AXIS c CELL CHOICE 3 Axes Coordinates Wyckoff positions 4a 4b 4c 4d 4e 8f I Maximal translationengleiche subgroups I11b 4a 4a 4a 4a 4a 2 × 4a I112 x, y + (1/4), z 4c 4c 4c 4c 2a; 2b 2 × 4c P-1 a, b, (1/2)(-a - b + c) x + z, y + z, 2z 1a; 1c 1d; 1e 1b; 1f 1g; 1h 2i 2 × 2i II Maximal klassengleiche subgroups Loss of centring translations P1121/a 2a; 2b 2c; 2d 4e 4e 4e 2 × 4e P1121/b x - (1/4), y - (1/4), z + (1/4) 4e 4e 2a; 2d 2b; 2c 4e 2 × 4e P112/b 2a; 2b 2c; 2d 4g 4g 2e; 2f 2 × 4g P112/a x - (1/4), y - (1/4), z + (1/4) 4g 4g 2a; 2b 2c; 2d 2e; 2f 2 × 4g Enlarged unit cell, isomorphic I112/b a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 3 × 4e 3 × 8f I112/b a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); p × 4e p × 8f p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 8f ((p - 1)/2) × 8f I112/b 3a + 2b, b, c (1/3)x, -(2/3)x + y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f I112/b a + 2b, 3b, c x, (1/3)(-2x + y), z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f I112/b a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8f 4b; 8f 4d; 8f 4c; 8f 4e; 8f 3 × 8f I112/b 3a, -2a + b, c (1/3)(x + 2y), y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4c; 8f 4d; 8f 4e; 8f 3 × 8f I112/b a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c; ((p - 1)/2) × 8f 4d; ((p - 1)/2) × 8f 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; I112/b pa, 2qa + b, c (1/p)(x - 2qy), y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8f 4b; ((p - 1)/2) × 8f 4c(d*); 4d(c*); 4e; ((p - 1)/2) × 8f p × 8f p = prime > 2; u = 1, . . ., p - 1; ((p - 1)/2) × 8f ((p - 1)/2) × 8f -(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) * p = 4n - 1

Space groups of the series of isomorphic subgroups appear in different sequences for cell choices 1, 2 and 3