[script p]mm2 mm2 Orthorhombic
No. 15 [script p]mm2 Patterson symmetry [script p]mmm

symmetry group diagram

Origin on mm2

Asymmetric unit 0 ≤ x; 0 ≤ y; 0 ≤ z ≤ 1

Symmetry operations

(1)  1   (2)  2   0, 0, z(3)  m   x, 0, z(4)  m   0, y, z

Generators selected (1); t(0, 0, 1); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates Reflection conditions
 General:
4 d 1
(1) x, y, z(2) -x, -y, z(3) x, -y, z(4) -x, y, z
no conditions
  Special: no extra conditions
2 c  m . . 
0, y, z0, -y, z
2 b  . m . 
x, 0, z-x, 0, z
1 a  m m 2 
0, 0, z

Symmetry of special projections

Along [001]   2mm

Origin at 0, 0, z 		Along [100]   [script p]11m
a' = c   
Origin at x, 0, 0 		Along [010]   [script p]11m
a' = c   
Origin at 0, y, 0

Maximal non-isotypic non-enantiomorphic subgroups

I[2] [script p]112 (8)1; 2
 [2] [script p]1m1 ([script p]m11, 4)1; 3
 [2] [script p]m11 (4)1; 4
IIa none
IIb[2] [script p]mc21 (c' = 2c) (17); [2] [script p]cm21 (c' = 2c) ([script p]mc21, 17); [2] [script p]cc2 (c' = 2c) (16)

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

IIc[2] [script p]mm2 (c' = 2c) (15)

Minimal non-isotypic non-enantiomorphic supergroups

I[2] [script p]mmm (20); [2] [script p]4mm (34); [2] [script p]42cm (35); [2] [script p]-42m (37); [3] [script p]6mm (68)
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