International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2015). Vol. A, ch. 1.4, p. 59

Table 1.4.3.1

H. Wondratscheke
 Table 1.4.3.1| top | pdf | Sequence of generators for the crystal classes
 The space-group generators differ from those listed here by their glide or screw components. The generator 1 is omitted, except for crystal class 1. The generators are represented by the corresponding Seitz symbols (cf. Tables 1.4.2.1 –1.4.2.3 ). Following the conventions, the subscript of a symbol denotes the characteristic direction of that operation, where necessary. For example, the subscripts 001, 010, 110 etc. refer to the directions [001], [010], [110] etc. For mirror reflections m, the `direction of m' refers to the normal of the mirror plane.
Hermann–Mauguin symbol of crystal classGenerators (sequence left to right)
1 1
2 2
m m
222
mm2
mmm
4
422
4mm
3
(rhombohedral coordinates )
(rhombohedral coordinates
321
(rhombohedral coordinates )
312
3m1
(rhombohedral coordinates )
31m
(rhombohedral coordinates )
6
622
6mm
23
432