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Subgroup structure of dihedral group:D8

196 bytes added, 02:10, 1 July 2011
Subgroup-defining functions and associated quotient-defining functions
| [[socle]] || join of all [[minimal normal subgroup]]s || [[center of dihedral group:D8]]: <math>\{ e, a^2 \}</math> || [[cyclic group:Z2]] || 2 || ? || [[Klein four-group]] || 4
|-
| [[Baer norm]] || intersection of [[normalizer]]s of all subgroups || [[center of dihedral group:D8]]: <math>\{ e, a^2 \}</math> || [[cyclic group:Z2]] || 2 || ? || [[Klein four-group]] || 4
|-
| [[Fitting subgroup]] || join of all [[nilpotent normal subgroup]]s || whole group || [[dihedral group:D8]] || 8 || [[Fitting quotient]] || [[trivial group]] || 1
|-
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