Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄≀C₂

Direct product G=N×Q with N=C₅ and Q=C₄≀C₂

		d	ρ	Label	ID
C₅×C₄≀C₂		40	2	C5xC4wrC2	160,54

Semidirect products G=N:Q with N=C₅ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁C₄≀C₂ = D₄⋊F₅	φ: C₄≀C₂/D₄ → C₄ ⊆ Aut C₅	40	8-	C5:1C4wrC2	160,83
C₅⋊₂C₄≀C₂ = Q₈⋊₂F₅	φ: C₄≀C₂/Q₈ → C₄ ⊆ Aut C₅	40	8+	C5:2C4wrC2	160,85
C₅⋊₃C₄≀C₂ = D₂₀⋊₄C₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₅	40	2	C5:3C4wrC2	160,12
C₅⋊₄C₄≀C₂ = D₂₀⋊₇C₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₅	40	4	C5:4C4wrC2	160,32
C₅⋊₅C₄≀C₂ = D₄⋊₂Dic₅	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₅	40	4	C5:5C4wrC2	160,44

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