Extensions 1→N→G→Q→1 with N=C₂³.F₅ and Q=C₂

Direct product G=N×Q with N=C₂³.F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.F₅		80		C2xC2^3.F5	320,1137

Semidirect products G=N:Q with N=C₂³.F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.F₅⋊₁C₂ = C₅⋊C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.F₅	40	8+	C2^3.F5:1C2	320,202
C₂³.F₅⋊₂C₂ = C₂⁴⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.F₅	40	4	C2^3.F5:2C2	320,272
C₂³.F₅⋊₃C₂ = (C₂×D₄).₉F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.F₅	80	8-	C2^3.F5:3C2	320,1115
C₂³.F₅⋊₄C₂ = D₅⋊(C₄.D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.F₅	40	8+	C2^3.F5:4C2	320,1116
C₂³.F₅⋊₅C₂ = (C₄×D₅).D₄	φ: trivial image	80	4	C2^3.F5:5C2	320,1099

Non-split extensions G=N.Q with N=C₂³.F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.F₅.₁C₂ = C₂²⋊C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.F₅	80	8-	C2^3.F5.1C2	320,203
C₂³.F₅.₂C₂ = (C₂²×C₄)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.F₅	80	4	C2^3.F5.2C2	320,254

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