Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄.F₅

Direct product G=N×Q with N=C₅ and Q=C₄.F₅

		d	ρ	Label	ID
C₅×C₄.F₅		80	4	C5xC4.F5	400,136

Semidirect products G=N:Q with N=C₅ and Q=C₄.F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄.F₅) = C₅²⋊₇M₄(2)	φ: C₄.F₅/C₂₀ → C₄ ⊆ Aut C₅	200		C5:1(C4.F5)	400,150
C₅⋊₂(C₄.F₅) = C₅²⋊₈M₄(2)	φ: C₄.F₅/C₂₀ → C₄ ⊆ Aut C₅	40	4	C5:2(C4.F5)	400,157
C₅⋊₃(C₄.F₅) = C₅²⋊₄M₄(2)	φ: C₄.F₅/D₁₀ → C₄ ⊆ Aut C₅	80	8-	C5:3(C4.F5)	400,128
C₅⋊₄(C₄.F₅) = Dic₅.F₅	φ: C₄.F₅/C₅⋊C₈ → C₂ ⊆ Aut C₅	40	8+	C5:4(C4.F5)	400,123
C₅⋊₅(C₄.F₅) = C₂₀.₁₂F₅	φ: C₄.F₅/C₄×D₅ → C₂ ⊆ Aut C₅	80	4	C5:5(C4.F5)	400,143

Non-split extensions G=N.Q with N=C₅ and Q=C₄.F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄.F₅) = C₁₀₀.C₄	φ: C₄.F₅/C₂₀ → C₄ ⊆ Aut C₅	200	4	C5.(C4.F5)	400,29

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