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

Direct product G=N×Q with N=C₅ and Q=C₈⋊₁C₈

		d	ρ	Label	ID
C₅×C₈⋊₁C₈		320		C5xC8:1C8	320,140

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊₁C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊₁C₈) = C₄₀⋊₁C₈	φ: C₈⋊₁C₈/C₂×C₈ → C₄ ⊆ Aut C₅	320		C5:1(C8:1C8)	320,220
C₅⋊₂(C₈⋊₁C₈) = Dic₅.₁₃D₈	φ: C₈⋊₁C₈/C₂×C₈ → C₄ ⊆ Aut C₅	320		C5:2(C8:1C8)	320,222
C₅⋊₃(C₈⋊₁C₈) = C₄₀⋊₅C₈	φ: C₈⋊₁C₈/C₄×C₈ → C₂ ⊆ Aut C₅	320		C5:3(C8:1C8)	320,16
C₅⋊₄(C₈⋊₁C₈) = C₂₀.₅₃D₈	φ: C₈⋊₁C₈/C₄⋊C₈ → C₂ ⊆ Aut C₅	320		C5:4(C8:1C8)	320,37

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