Maximal k subgroups

Bertaut, E. F.

doi:10.1107/97809553602060000509

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

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International Tables for Crystallography (2006). Vol. A. ch. 4.3, p. 75

Section 4.3.6.4.1. Maximal k subgroups

E. F. Bertaut^a ^‡

^a Laboratoire de Cristallographie, CNRS, Grenoble, France

4.3.6.4.1. Maximal k subgroups

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The extended symbol of $[Fm\bar{3}]$ (202) shows clearly that $[Pm\bar{3}]$ , $[Pn\bar{3}]$ , $[Pb\bar{3}\; (Pa\bar{3})]$ and $[Pa\bar{3}]$ are maximal subgroups. $[Pm\bar{3}m]$ , $[Pn\bar{3}n]$ , $[Pm\bar{3}n]$ and $[Pn\bar{3}m]$ are maximal subgroups of $[Im\bar{3}m]$ (229). Space groups with d glide planes have no k subgroup of lattice P.

References

International Tables for Crystallography (2006). Vol. A. ch. 4.3, p. 75