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

International Tables for Crystallography (2006). Vol. D, ch. 3.2, p. 384


V. Janovec,a* Th. Hahnb and H. Klapperc

aDepartment of Physics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic,bInstitut für Kristallographie, Rheinisch–Westfälische Technische Hochschule, D-52056 Aachen, Germany, and cMineralogisch-Petrologisches Institut, Universität Bonn, D-53113 Bonn, Germany
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Four types of double cosets

 [FgF=gF][FgF\neq gF ]
[FgF=(FgF)^{-1}] Invertible simple Invertible multiple
[FgF \cap (FgF)^{-1}=\emptyset] Non-invertible simple Non-invertible multiple