Tennant, Raymond F. Subgroup lattices for crystallographic groups. (English) Zbl 1164.20355 Symmetry Cult. Sci. 16, No. 3, 267-282 (2005). Summary: Many of the properties of the two-dimensional crystallographic groups may be discovered by looking at the subgroup relationships between the groups. Utilizing subgroup lattices, this paper investigates patterns that occur among the groups. This includes a description on how the various groups fit inside of one another and also investigates whereby removing symmetry from one of the groups produces another group. MSC: 20H15 Other geometric groups, including crystallographic groups 20E15 Chains and lattices of subgroups, subnormal subgroups Keywords:crystallographic groups; subgroup lattices; point groups PDFBibTeX XMLCite \textit{R. F. Tennant}, Symmetry Cult. Sci. 16, No. 3, 267--282 (2005; Zbl 1164.20355)