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

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

Section 1.1.7. Groups

Th. Hahna*

aInstitut 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 symbolExplanation
[{\cal G}] Space group
[{\cal T}] Group of all translations of [{\cal G}]
[{\cal S}] Supergroup; also used for site-symmetry group
[{\cal H}] Subgroup
[{\cal E}] Group of all motions (Euclidean group)
[{\cal A}] Group of all affine mappings (affine group)
[{\cal N}_{\cal E}({\cal G})]; or [{\cal N}_{\cal A}({\cal G})] Euclidean or affine normalizer of a space group [{\cal G}]
[{\cal P}] Point group
[{\cal C}] Eigensymmetry (inherent symmetry) group
[i] Index i of sub- or supergroup
[ {\sf G}] Element of a space group [{\cal G}]








































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