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		80		C2xC4.F5	160,201

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.F₅⋊₁C₂ = D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₅	40	8-	C4.F5:1C2	160,83
C₄.F₅⋊₂C₂ = Q₈⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₅	40	8+	C4.F5:2C2	160,85
C₄.F₅⋊₃C₂ = D₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₅	80	8-	C4.F5:3C2	160,206
C₄.F₅⋊₄C₂ = Q₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₅	80	8+	C4.F5:4C2	160,208
C₄.F₅⋊₅C₂ = D₅⋊M₄(2)	φ: trivial image	40	4	C4.F5:5C2	160,202

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 = C₄₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₅	80	4	C4.F5.1C2	160,70
C₄.F₅.₂C₂ = D₁₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₅	80	4	C4.F5.2C2	160,71

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