Extensions 1→N→G→Q→1 with N=C₄⋊F₅ and Q=C₂

Direct product G=N×Q with N=C₄⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊F₅		40		C2xC4:F5	160,204

Semidirect products G=N:Q with N=C₄⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊F₅⋊₁C₂ = D₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₅	40	8+	C4:F5:1C2	160,82
C₄⋊F₅⋊₂C₂ = D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₅	20	8+	C4:F5:2C2	160,207
C₄⋊F₅⋊₃C₂ = D₁₀.C₂³	φ: trivial image	40	4	C4:F5:3C2	160,205

Non-split extensions G=N.Q with N=C₄⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊F₅.₁C₂ = Q₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₅	40	8-	C4:F5.1C2	160,84
C₄⋊F₅.₂C₂ = Q₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₅	40	8-	C4:F5.2C2	160,209
C₄⋊F₅.₃C₂ = C₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₅	40	4	C4:F5.3C2	160,68
C₄⋊F₅.₄C₂ = D₅.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₅	40	4	C4:F5.4C2	160,69

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