Table 1.2.6.2

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

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

T. Janssen^a ^*

^a Institute 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 class	First class	Second class with −E	Third class without −E	Order
$[ C_{1}]$	1			1
$[C_{2}]$	2	$[\bar{1}]$	m	2
$[C_{3}]$	3			3
$[C_{4}]$	4		4	4
$[D_{2}]$	222			4
$[C_{6}]$	6	$[\bar{3}]$	$[\bar{6}]$	6
$[D_{3}]$	32			6
$[C_{4}\times C_{2}]$				8
$[D_{4}]$	422		, $[\bar{4}2m]$	8
$[D_{2}\times C_{2}]$				8
$[D_{6}]$	622	$[\bar{3}m]$	, $[\bar{6}2m]$	12
T	23			12
$[C_{6}\times C_{2}]$				12
$[D_{4}\times C_{2}]$				16
O	432		$[\bar{4}3m]$	24
$[D_{6}\times C_{2}]$				24
$[T\times C_{2}]$		$[m\bar{3}]$		24
$[O\times C_{2}]$		$[m\bar{3}m]$		48