P2/m No. 10 C2h1


P 1 2/m 1

UNIQUE AXIS b
Axes Coordinates Wyckoff positions
1a 1b 1c 1d 1e 1f 1g 1h 2i 2j
2k 2l 2m 2n 4o
I Maximal translationengleiche subgroups
[2] P1m1 (6) 1a 1b 1a 1a 1b 1b 1a 1b 2c 2c
2c 2c 2 × 1a 2 × 1b 2 × 2c
[2] P121 (3) 1a 1a 1b 1c 1c 1b 1d 1d 2 × 1a 2 × 1c
2 × 1b 2 × 1d 2e 2e 2 × 2e
[2] P-1 (2) 1a 1c(b*) 1b(d*) 1d(c*) 1e(g*) 1g(f*) 1f(e*) 1h 2i 2i
2i 2i 2i 2i 2 × 2i
* unique axis c
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] P12/a1 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a 2c 2d 2e 2e 2b 2f 2f 4g 2 × 2e
  (13) 4g 2 × 2f 4g 4g 2 × 4g
[2] P12/a1 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 2e 2e 2f 2a 2c 2f 2d 2b 2 × 2e 4g
  (13) 2 × 2f 4g 4g 4g 2 × 4g
[2] P12/c1 a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2c 2e 2d 2b 2e 2f 2f 4g 4g
  (13) 2 × 2e 2 × 2f 4g 4g 2 × 4g
[2] P12/c1 a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 2e 2e 2a 2f 2f 2c 2d 2b 2 × 2e 2 × 2f
  (13) 4g 4g 4g 4g 2 × 4g
[2] P12/c1 a - c, b, 2c x, y, (1/2)(x + z); +(0, 0, (1/2)) 2a 2c 2e 2f 2f 2e 2d 2b 4g 2 × 2f
  (13) 2 × 2e 4g 4g 4g 2 × 4g
   or: P12/n1 a - c, b, a + c (1/2)(x - z), y, (1/2)(x + z); +((1/2), 0, (1/2)) 2a 2c 2f 2e 2e 2f 2d 2b 4g 2 × 2e
2 × 2f 4g 4g 4g 2 × 4g
[2] P12/c1 a - c, b, 2c x, y, (1/2)(x + z) + (1/4); +(0, 0, (1/2)) 2e 2e 2a 2d 2b 2c 2f 2f 2 × 2e 4g
  (13) 4g 2 × 2f 4g 4g 2 × 4g
   or: P12/n1 a - c, b, a + c (1/2)(x - z) - (1/4), y, (1/2)(x + z) + (1/4); 2f 2f 2a 2d 2b 2c 2e 2e 2 × 2f 4g
+((1/2), 0, (1/2)) 4g 2 × 2e 4g 4g 2 × 4g
[2] C12/m1 2a, 2b, c (1/2)x, (1/2)y, z; +(0, (1/2), 0) 2a; 2b 4g 2c; 2d 4i 4e 4h 4i 4f 2 × 4g 8j
  (12) 2 × 4h 8j 2 × 4i 8j 2 × 8j
[2] C12/m1 2a, 2b, c (1/2)x + (1/4), (1/2)y, z; +(0, (1/2), 0) 4i 4e 4i 2a; 2b 4g 4f 2c; 2d 4h 8j 2 × 4h
  (12) 8j 2 × 4h 2 × 4i 8j 2 × 8j
[2] C12/m1 2a, 2b, c (1/2)x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4g 2a; 2b 4h 4e 4i 2c; 2d 4f 4i 2 × 4g 8j
  (12) 2 × 4h 8j 8j 2 × 4i 2 × 8j
[2] C12/m1 2a, 2b, c (1/2)x + (1/4), (1/2)y + (1/4), z; +(0, (1/2), 0) 4e 4i 4f 4g 2a; 2b 4i 4h 2c; 2d 8j 2 × 4g
  (12) 8j 2 × 4h 8j 2 × 4i 2 × 8j
[2] C12/m1 2a, 2b, -a + c (1/2)(x + z), (1/2)y, z; +(0, (1/2), 0) 2a; 2b 4g 4i 4i 4e 4f 2c; 2d 4h 2 × 4g 8j
  (12) 8j 2 × 4h 2 × 4i 8j 2 × 8j
[2] C12/m1 2a, 2b, -a + c (1/2)(x + z) + (1/4), (1/2)y, z; +(0, (1/2), 0) 4i 4e 2c; 2d 2a; 2b 4g 4h 4i 4f 8j 2 × 4g
  (12) 2 × 4h 8j 2 × 4i 8j 2 × 8j
[2] C12/m1 2a, 2b, -a + c (1/2)(x + z), (1/2)y + (1/4), z; +(0, (1/2), 0) 4g 2a; 2b 4f 4e 4i 4i 4h 2c; 2d 2 × 4g 8j
  (12) 8j 2 × 4h 8j 2 × 4i 2 × 8j
[2] C12/m1 2a, 2b, -a + c (1/2)(x + z) + (1/4), (1/2)y + (1/4), z; +(0, (1/2), 0) 4e 4i 4h 4g 2a; 2b 2c; 2d 4f 4i 8j 2 × 4g
  (12) 2 × 4h 8j 8j 2 × 4i 2 × 8j
[2] A12/m1 a, 2b, 2c x, (1/2)y, (1/2)z; +(0, (1/2), 0); 2a; 2b 4g 4i 2c; 2d 4h 4e 4i 4f 2 × 4g 2 × 4h
  (12) 8j 8j 2 × 4i 8j 2 × 8j
[2] A12/m1 a, 2b, 2c x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0); 4g 2a; 2b 4e 4h 2c; 2d 4i 4f 4i 2 × 4g 2 × 4h
  (12) 8j 8j 8j 2 × 4i 2 × 8j


Axes Coordinates Wyckoff positions
1a 1b 1c 1d 1e 1f 1g 1h
2i 2j 2k 2l 2m 2n 4o
[2] A12/m1 a, 2b, 2c x, (1/2)y, (1/2)z + (1/4); +(0, (1/2), 0) 4i 4e 2a; 2b 4i 4f 4g 2c; 2d 4h
  (12) 8j 8j 2 × 4g 2 × 4h 2 × 4i 8j 2 × 8j
[2] A12/m1 (12) a, 2b, 2c x, (1/2)y + (1/4), (1/2)z + (1/4); +(0, (1/2), 0) 4e 4i 4g 4f 4i 2a; 2b 4h 2c; 2d
  (12) 8j 8j 2 × 4g 2 × 4h 8j 2 × 4i 2 × 8j
[2] P121/m1 a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a 2e 2c 2b 2e 2e 2d 2e
  (11) 4f 4f 4f 4f 4f 2 × 2e 2 × 4f
[2] P121/m1 a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2e 2a 2e 2e 2b 2c 2e 2d
  (11) 4f 4f 4f 4f 2 × 2e 4f 2 × 4f
   Enlarged unit cell, isomorphic
[2] P12/m1 a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 1a; 1b 2i 1c; 1f 1d; 1e 2j 2k 1g; 1h 2l
2 × 2i 2 × 2j 2 × 2k 2 × 2l 2m; 2n 4o 2 × 4o
[2] P12/m1 a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2i 1a; 1b 2k 2j 1d; 1e 1c; 1f 2l 1g; 1h
2 × 2i 2 × 2j 2 × 2k 2 × 2l 4o 2m; 2n 2 × 4o
[3] P12/m1 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 1a; 2i 1b; 2i 1c; 2k 1d; 2j 1e; 2j 1f; 2k 1g; 2l 1h; 2l
3 × 2i 3 × 2j 3 × 2k 3 × 2l 2m; 4o 2n; 4o 3 × 4o
[p] P12/m1 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 1a; ((p - 1)/2) × 1b; ((p - 1)/2) × 1c; ((p - 1)/2) × 1d; ((p - 1)/2) × 1e; ((p - 1)/2) × 1f; ((p - 1)/2) × 1g; ((p - 1)/2) × 1h; ((p - 1)/2) ×
p = prime > 2; 2i 2i 2k 2j 2j 2k 2l 2l
u = 1, . . ., p - 1 p × 2i p × 2j p × 2k p × 2l 2m; ((p - 1)/2) × 2n; ((p - 1)/2) × p × 4o
4o 4o
[2] P12/m1 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 1a; 1d 1b; 1e 1c; 1g 2m 2n 1f; 1h 2m 2n
2i; 2j 4o 2k; 2l 4o 2 × 2m 2 × 2n 2 × 4o
[2] P12/m1 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 2m 2n 2m 1a; 1d 1b; 1e 2n 1c; 1g 1f; 1h
4o 2i; 2j 4o 2k; 2l 2 × 2m 2 × 2n 2 × 4o
[2] P12/m1 a - c, b, a + c (1/2)(x - z), y, (1/2)(x + z); 1a; 1g 1b; 1h 2m 2m 2n 2n 1c; 1d 1e; 1f
+((1/2), 0, (1/2)) 2i; 2l 4o 4o 2j; 2k 2 × 2m 2 × 2n 2 × 4o
[2] P12/m1 a - c, b, a + c (1/2)(x - z) + (1/4), y, 2m 2n 1c; 1d 1a; 1g 1b; 1h 1e; 1f 2m 2n
(1/2)(x + z) + (1/4); +((1/2), 0, (1/2)) 4o 2i; 2l 2j; 2k 4o 2 × 2m 2 × 2n 2 × 4o
[2] P12/m1 a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 1a; 1c 1b; 1f 2m 1d; 1g 1e; 1h 2n 2m 2n
2i; 2k 2j; 2l 4o 4o 2 × 2m 2 × 2n 2 × 4o
[2] P12/m1 a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 2m 2n 1a; 1c 2m 2n 1b; 1f 1d; 1g 1e; 1h
4o 4o 2i; 2k 2j; 2l 2 × 2m 2 × 2n 2 × 4o
[3] P12/m1 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 1a; 2m 1b; 2n 1c; 2m 1d; 2m 1e; 2n 1f; 2n 1g; 2m 1h; 2n
2i; 4o 2j; 4o 2k; 4o 2l; 4o 3 × 2m 3 × 2n 3 × 4o
[3] P12/m1 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 1a; 2m 1b; 2n 1c; 2m 1d; 2m 1e; 2n 1f; 2n 1g; 2m 1h; 2n
2i; 4o 2j; 4o 2k; 4o 2l; 4o 3 × 2m 3 × 2n 3 × 4o
[3] P12/m1 a - c, b, 3c x, y, (1/3)(x + z); 1a; 2m 1b; 2n 1c; 2m 1g; 2m 1h; 2n 1f; 2n 1d; 2m 1e; 2n
±(0, 0, (1/3)) 2i; 4o 2l; 4o 2k; 4o 2j; 4o 3 × 2m 3 × 2n 3 × 4o
[3] P12/m1 a + c, b, 3c x, y, (1/3)(-x + z); 1a; 2m 1b; 2n 1c; 2m 1g; 2m 1h; 2n 1f; 2n 1d; 2m 1e; 2n
±(0, 0, (1/3)) 2i; 4o 2l; 4o 2k; 4o 2j; 4o 3 × 2m 3 × 2n 3 × 4o
[p] P12/m1 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 1a; ((p - 1)/2) × 1b; ((p - 1)/2) × 1c; ((p - 1)/2) × 1d; ((p - 1)/2) × 1e; ((p - 1)/2) × 1f; ((p - 1)/2) × 1g; ((p - 1)/2) × 1h; ((p - 1)/2) ×
p = prime > 2; 2m 2n 2m 2m 2n 2n 2m 2n
u = 1, . . ., p - 1 2i; ((p - 1)/2) × 2j; ((p - 1)/2) × 2k; ((p - 1)/2) × 2l; ((p - 1)/2) × p × 2m p × 2n p × 4o
4o 4o 4o 4o
[p] P12/m1 a + qc, b, pc x, y, (1/p)(-qx + z); 1a; ((p - 1)/2) × 1b; ((p - 1)/2) × 1c; ((p - 1)/2) × 1d(g*); 1e(h*); 1f; ((p - 1)/2) × 1g(d*); 1h(e*);
+(0, 0, (u/p)) 2m 2n 2m ((p - 1)/2) × 2m ((p - 1)/2) × 2n 2n ((p - 1)/2) × 2m ((p - 1)/2) × 2n
p = prime > 2; u = 1, . . ., p - 1 2i; ((p - 1)/2) × 2j(l*); 2k; ((p - 1)/2) × 2l(j*); p × 2m p × 2n p × 4o
-(1/2)(p - 1)≤ q ≤ (1/2)(p - 1) 4o ((p - 1)/2) × 4o 4o ((p - 1)/2) × 4o
* q = 2n + 1


P 1 1 2/m

UNIQUE AXIS c
Axes Coordinates Wyckoff positions
1a 1b 1c 1d 1e 1f 1g 1h 2i 2j
2k 2l 2m 2n 4o
I Maximal translationengleiche subgroups
[2] P11m 1a 1b 1a 1a 1b 1b 1a 1b 2c 2c
2c 2c 2 × 1a 2 × 1b 2 × 2c
[2] P112 1a 1a 1b 1c 1c 1b 1d 1d 2 × 1a 2 × 1c
2 × 1b 2 × 1d 2e 2e 2 × 2e
[2] P-1 1a 1c(b*) 1b(d*) 1d(c*) 1e(g*) 1g(f*) 1f(e*) 1h 2i 2i
2i 2i 2i 2i 2 × 2i
* unique axis c
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] P112/b a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a 2c 2d 2e 2e 2b 2f 2f 4g 2 × 2e
4g 2 × 2f 4g 4g 2 × 4g
[2] P112/b a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2e 2e 2f 2a 2c 2f 2d 2b 2 × 2e 4g
2 × 2f 4g 4g 4g 2 × 4g
[2] P112/a 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a 2c 2e 2d 2b 2e 2f 2f 4g 4g
2 × 2e 2 × 2f 4g 4g 2 × 4g
[2] P112/a 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 2e 2e 2a 2f 2f 2c 2d 2b 2 × 2e 2 × 2f
4g 4g 4g 4g 2 × 4g
[2] P112/a 2a, -a + b, c (1/2)(x + y), y, z; +((1/2), 0, 0) 2a 2c 2e 2f 2f 2e 2d 2b 4g 2 × 2f
2 × 2e 4g 4g 4g 2 × 4g
   or: P112/n a + b, -a + b, c (1/2)(x + y), (1/2)(-x + y), z; +((1/2), (1/2), 0) 2a 2c 2f 2e 2e 2f 2d 2b 4g 2 × 2e
2 × 2f 4g 4g 4g 2 × 4g
[2] P112/a 2a, -a + b, c (1/2)(x + y) + (1/4), y, z; +((1/2), 0, 0) 2e 2e 2a 2d 2b 2c 2f 2f 2 × 2e 4g
4g 2 × 2f 4g 4g 2 × 4g
   or: P112/n a + b, -a + b, c (1/2)(x + y) + (1/4), (1/2)(-x + y) - (1/4), z; +((1/2), (1/2), 0) 2f 2f 2a 2d 2b 2c 2e 2e 2 × 2f 4g
4g 2 × 2e 4g 4g 2 × 4g
[2] A112/m a, 2b, 2c x, (1/2)y, (1/2)z; +(0, 0, (1/2)) 2a; 2b 4g 2c; 2d 4i 4e 4h 4i 4f 2 × 4g 8j
2 × 4h 8j 2 × 4i 8j 2 × 8j
[2] A112/m a, 2b, 2c x, (1/2)y + (1/4), (1/2)z; +(0, 0, (1/2)) 4i 4e 4i 2a; 2b 4g 4f 2c; 2d 4h 8j 2 × 4h
8j 2 × 4h 2 × 4i 8j 2 × 8j
[2] A112/m a, 2b, 2c x, (1/2)y, (1/2)z + (1/4); +(0, 0, (1/2)) 4g 2a; 2b 4h 4e 4i 2c; 2d 4f 4i 2 × 4g 8j
2 × 4h 8j 8j 2 × 4i 2 × 8j
[2] A112/m a, 2b, 2c x, (1/2)y + (1/4), (1/2)z + (1/4); +(0, 0, (1/2)) 4e 4i 4f 4g 2a; 2b 4i 4h 2c; 2d 8j 2 × 4g
8j 2 × 4h 8j 2 × 4i 2 × 8j
[2] A112/m a - b, 2b, 2c x, (1/2)(x + y), (1/2)z; +(0, 0, (1/2)) 2a; 2b 4g 4i 4i 4e 4f 2c; 2d 4h 2 × 4g 8j
8j 2 × 4h 2 × 4i 8j 2 × 8j
[2] A112/m a - b, 2b, 2c x, (1/2)(x + y) + (1/4), (1/2)z; +(0, 0, (1/2)) 4i 4e 2c; 2d 2a; 2b 4g 4h 4i 4f 8j 2 × 4g
2 × 4h 8j 2 × 4i 8j 2 × 8j
[2] A112/m a - b, 2b, 2c x, (1/2)(x + y), (1/2)z + (1/4); +(0, 0, (1/2)) 4g 2a; 2b 4f 4e 4i 4i 4h 2c; 2d 2 × 4g 8j
8j 2 × 4h 8j 2 × 4i 2 × 8j
[2] A112/m a - b, 2b, 2c x, (1/2)(x + y) + (1/4), (1/2)z + (1/4); +(0, 0, (1/2)) 4e 4i 4h 4g 2a; 2b 2c; 2d 4f 4i 8j 2 × 4g
2 × 4h 8j 8j 2 × 4i 2 × 8j
[2] B112/m 2a, b, 2c (1/2)x, y, (1/2)z; +(0, 0, (1/2)) 2a; 2b 4g 4i 2c; 2d 4h 4e 4i 4f 2 × 4g 2 × 4h
8j 8j 2 × 4i 8j 2 × 8j
[2] B112/m 2a, b, 2c (1/2)x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 4g 2a; 2b 4e 4h 2c; 2d 4i 4f 4i 2 × 4g 2 × 4h
8j 8j 8j 2 × 4i 2 × 8j


Axes Coordinates Wyckoff positions
1a 1b 1c 1d 1e 1f 1g 1h
2i 2j 2k 2l 2m 2n 4o
[2] B112/m 2a, b, 2c (1/2)x + (1/4), y, (1/2)z; +(0, 0, (1/2)) 4i 4e 2a; 2b 4i 4f 4g 2c; 2d 4h
8j 8j 2 × 4g 2 × 4h 2 × 4i 8j 2 × 8j
[2] B112/m 2a, b, 2c (1/2)x + (1/4), y, (1/2)z + (1/4); +(0, 0, (1/2)) 4e 4i 4g 4f 4i 2a; 2b 4h 2c; 2d
8j 8j 2 × 4g 2 × 4h 8j 2 × 4i 2 × 8j
[2] P1121/m a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2e 2c 2b 2e 2e 2d 2e
4f 4f 4f 4f 4f 2 × 2e 2 × 4f
[2] P1121/m a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 2e 2a 2e 2e 2b 2c 2e 2d
4f 4f 4f 4f 2 × 2e 4f 2 × 4f
   Enlarged unit cell, isomorphic
[2] P112/m a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 1a; 1b 2i 1c; 1f 1d; 1e 2j 2k 1g; 1h 2l
2 × 2i 2 × 2j 2 × 2k 2 × 2l 2m; 2n 4o 2 × 4o
[2] P112/m a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 2i 1a; 1b 2k 2j 1d; 1e 1c; 1f 2l 1g; 1h
2 × 2i 2 × 2j 2 × 2k 2 × 2l 4o 2m; 2n 2 × 4o
[3] P112/m a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 1a; 2i 1b; 2i 1c; 2k 1d; 2j 1e; 2j 1f; 2k 1g; 2l 1h; 2l
3 × 2i 3 × 2j 3 × 2k 3 × 2l 2m; 4o 2n; 4o 3 × 4o
[p] P112/m a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 1a; ((p - 1)/2) × 1b; ((p - 1)/2) × 1c; ((p - 1)/2) × 1d; ((p - 1)/2) × 1e; ((p - 1)/2) × 1f; ((p - 1)/2) × 1g; ((p - 1)/2) × 1h; ((p - 1)/2) ×
p = prime > 2; u = 1, . . ., p - 1 2i 2i 2k 2j 2j 2k 2l 2l
p × 2i p × 2j p × 2k p × 2l 2m; ((p - 1)/2) × 2n; ((p - 1)/2) × p × 4o
4o 4o
[2] P112/m a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 1a; 1d 1b; 1e 1c; 1g 2m 2n 1f; 1h 2m 2n
2i; 2j 4o 2k; 2l 4o 2 × 2m 2 × 2n 2 × 4o
[2] P112/m a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2m 2n 2m 1a; 1d 1b; 1e 2n 1c; 1g 1f; 1h
4o 2i; 2j 4o 2k; 2l 2 × 2m 2 × 2n 2 × 4o
[2] P112/m a + b, -a + b, c (1/2)(x + y), (1/2)(-x + y), z; +((1/2), (1/2), 0) 1a; 1g 1b; 1h 2m 2m 2n 2n 1c; 1d 1e; 1f
2i; 2l 4o 4o 2j; 2k 2 × 2m 2 × 2n 2 × 4o
[2] P112/m a + b, -a + b, c (1/2)(x + y) + (1/4), (1/2)(-x + y) + (1/4), z; +((1/2), (1/2), 0) 2m 2n 1c; 1d 1a; 1g 1b; 1h 1e; 1f 2m 2n
4o 2i; 2l 2j; 2k 4o 2 × 2m 2 × 2n 2 × 4o
[2] P112/m 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 1a; 1c 1b; 1f 2m 1d; 1g 1e; 1h 2n 2m 2n
2i; 2k 2j; 2l 4o 4o 2 × 2m 2 × 2n 2 × 4o
[2] P112/m 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 2m 2n 1a; 1c 2m 2n 1b; 1f 1d; 1g 1e; 1h
4o 4o 2i; 2k 2j; 2l 2 × 2m 2 × 2n 2 × 4o
[3] P112/m a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 1a; 2m 1b; 2n 1c; 2m 1d; 2m 1e; 2n 1f; 2n 1g; 2m 1h; 2n
2i; 4o 2j; 4o 2k; 4o 2l; 4o 3 × 2m 3 × 2n 3 × 4o
[3] P112/m 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 1a; 2m 1b; 2n 1c; 2m 1d; 2m 1e; 2n 1f; 2n 1g; 2m 1h; 2n
2i; 4o 2j; 4o 2k; 4o 2l; 4o 3 × 2m 3 × 2n 3 × 4o
[3] P112/m 3a, -a + b, c (1/3)(x + y), y, z; ±((1/3), 0, 0) 1a; 2m 1b; 2n 1c; 2m 1g; 2m 1h; 2n 1f; 2n 1d; 2m 1e; 2n
2i; 4o 2l; 4o 2k; 4o 2j; 4o 3 × 2m 3 × 2n 3 × 4o
[3] P112/m 3a, a + b, c (1/3)(x - y), y, z; ±((1/3), 0, 0) 1a; 2m 1b; 2n 1c; 2m 1g; 2m 1h; 2n 1f; 2n 1d; 2m 1e; 2n
2i; 4o 2l; 4o 2k; 4o 2j; 4o 3 × 2m 3 × 2n 3 × 4o
[p] P112/m a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 1a; ((p - 1)/2) × 1b; ((p - 1)/2) × 1c; ((p - 1)/2) × 1d; ((p - 1)/2) × 1e; ((p - 1)/2) × 1f; ((p - 1)/2) × 1g; ((p - 1)/2) × 1h; ((p - 1)/2) ×
p = prime > 2; u = 1, . . ., p - 1 2m 2n 2m 2m 2n 2n 2m 2n
2i; ((p - 1)/2) × 2j; ((p - 1)/2) × 2k; ((p - 1)/2) × 2l; ((p - 1)/2) × p × 2m p × 2n p × 4o
4o 4o 4o 4o
[p] P112/m pa, qa + b, c (1/p)(x - qy), y, z; +((u/p), 0, 0) 1a; ((p - 1)/2) × 1b; ((p - 1)/2) × 1c; ((p - 1)/2) × 1d(g*); 1e(h*); 1f; ((p - 1)/2) × 1g(d*); 1h(e*);
p = prime > 2; u = 1, . . ., p - 1; - (1/2)(p - 1)≤ q ≤ (1/2)(p - 1) 2m 2n 2m ((p - 1)/2) × 2m ((p - 1)/2) × 2n 2n ((p - 1)/2) × 2m ((p - 1)/2) × 2n
2i; ((p - 1)/2) × 2j(l*); 2k; ((p - 1)/2) × 2l(j*); p × 2m p × 2n p × 4o
4o ((p - 1)/2) × 4o 4o ((p - 1)/2) × 4o
* q = 2n + 1









































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