Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊C₈

Direct product G=N×Q with N=C₅ and Q=D₄⋊C₈

		d	ρ	Label	ID
C₅×D₄⋊C₈		160		C5xD4:C8	320,130

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊C₈) = D₂₀⋊C₈	φ: D₄⋊C₈/C₄⋊C₄ → C₄ ⊆ Aut C₅	160		C5:1(D4:C8)	320,209
C₅⋊₂(D₄⋊C₈) = Dic₅.₂₃D₈	φ: D₄⋊C₈/C₂×D₄ → C₄ ⊆ Aut C₅	160		C5:2(D4:C8)	320,262
C₅⋊₃(D₄⋊C₈) = D₂₀⋊₃C₈	φ: D₄⋊C₈/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:3(D4:C8)	320,17
C₅⋊₄(D₄⋊C₈) = D₂₀⋊₄C₈	φ: D₄⋊C₈/C₄⋊C₈ → C₂ ⊆ Aut C₅	160		C5:4(D4:C8)	320,41
C₅⋊₅(D₄⋊C₈) = C₂₀.₅₇D₈	φ: D₄⋊C₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:5(D4:C8)	320,92

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