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	400,138

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) = Dic₅⋊F₅	φ: C₄⋊F₅/Dic₅ → C₄ ⊆ Aut C₅	20	8+	C5:1(C4:F5)	400,126
C₅⋊₂(C₄⋊F₅) = C₂₀⋊F₅	φ: C₄⋊F₅/C₂₀ → C₄ ⊆ Aut C₅	100		C5:2(C4:F5)	400,152
C₅⋊₃(C₄⋊F₅) = C₂₀⋊₂F₅	φ: C₄⋊F₅/C₂₀ → C₄ ⊆ Aut C₅	40	4	C5:3(C4:F5)	400,159
C₅⋊₄(C₄⋊F₅) = C₂₀⋊₅F₅	φ: C₄⋊F₅/C₄×D₅ → C₂ ⊆ Aut C₅	80	4	C5:4(C4:F5)	400,145
C₅⋊₅(C₄⋊F₅) = D₅.Dic₁₀	φ: C₄⋊F₅/C₂×F₅ → C₂ ⊆ Aut C₅	80	8-	C5:5(C4:F5)	400,119

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	100	4	C5.(C4:F5)	400,31

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