International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. A. ch. 1.1, p. 3

Section 1.1.7. Groups

Th. Hahna*

a Institut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany
Correspondence e-mail: hahn@xtal.rwth-aachen.de

1.1.7. Groups

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Printed symbol Explanation
G Space group
T Group of all translations of G
S Supergroup; also used for site-symmetry group
H Subgroup
E Group of all motions (Euclidean group)
A Group of all affine mappings (affine group)
N E ( G ) ; or NA(G) Euclidean or affine normalizer of a space group G
P Point group
C Eigensymmetry (inherent symmetry) group
[i] Index i of sub- or supergroup
G Element of a space group G








































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