International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. C. ch. 1.4, p. 15

Table 1.4.1.1 

A. J. C. Wilsona‡

a St John's College, Cambridge CB2 1TP, England

Table 1.4.1.1 | top | pdf |
The two-dimensional arithmetic crystal classes

Crystal system Crystal class Space group
Geometric Arithmetic
Number Symbol Number Symbol
Oblique 1 1 1p 1 p1
2 2 2p 2 p2
Rectangular m 3 mp 3 pm
4 pg
4 mc 5 cm
2mm 5 2mmp 6 p2mm
7 p2mg
8 p2gg
6 2mmc 9 c2mm
Square 4 7 4p 10 p4
4mm 8 4mmp 11 p4mm
12 p4gm
Hexagonal 3 9 3p 13 p3
3m 10 3m1p 14 p3m1
11 31mp 15 p31m
6 12 6p 16 p6
6mm 13 6mmp 17 p6mm