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Subgroup structure of symmetric group:S4

17 bytes added, 23:46, 8 January 2012
Table classifying subgroups up to automorphisms
| [[Z4 in S4]] || <math>\langle (1,2,3,4) \rangle</math> || [[cyclic group:Z4]] || 4 || 6 || 1 || 3 || 3 || -- || -- ||
|-
| [[normal Klein four-subgroup of S4]] || <math>\{ (), (1,2)(3,4), </math><br><math>(1,3)(2,4), (1,4)(2,3) \}</math> || [[Klein four-group]] || 4 || 6 || 1 || 1 || 1 || [[symmetric group:S3]] || 1 || 2-core
|-
| [[non-normal Klein four-subgroups of S4]] || <math>\langle (1,2), (3,4) \rangle</math> || [[Klein four-group]] || 4 || 6 || 1 || 3 || 3 || -- || -- ||
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