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

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

Table 1.4.1.1 

A. J. C. Wilsona

aSt John's College, Cambridge CB2 1TP, England

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

Crystal systemCrystal classSpace group
GeometricArithmetic
NumberSymbolNumberSymbol
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