International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2006). Vol. D, ch. 1.2, p. 57

Table 1.2.6.2 

T. Janssena*

aInstitute for Theoretical Physics, University of Nijmegen, 6524 ED Nijmegen, The Netherlands
Correspondence e-mail: ted@sci.kun.nl

Table 1.2.6.2| top | pdf |
Crystallographic point groups in three dimensions

Isomorphism classFirst classSecond class with −EThird class without −EOrder
[ C_{1}] 1     1
[C_{2}] 2 [\bar{1}] m 2
[C_{3}] 3     3
[C_{4}] 4   4 4
[D_{2}] 222 [2/m] [2mm] 4
[C_{6}] 6 [\bar{3}] [\bar{6}] 6
[D_{3}] 32   [3m] 6
[C_{4}\times C_{2}]   [4/m]   8
[D_{4}] 422   [4mm], [\bar{4}2m] 8
[D_{2}\times C_{2}]   [mmm]   8
[D_{6}] 622 [\bar{3}m] [6mm], [\bar{6}2m] 12
T 23     12
[C_{6}\times C_{2}]   [6/m]   12
[D_{4}\times C_{2}]   [4/mmm]   16
O 432   [\bar{4}3m] 24
[D_{6}\times C_{2}]   [6/mmm ]   24
[T\times C_{2}]   [m\bar{3}]   24
[O\times C_{2}]   [m\bar{3}m]   48