Extensions 1→N→G→Q→1 with N=C₈.F₅ and Q=C₂

Direct product G=N×Q with N=C₈.F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₈.F₅		160		C2xC8.F5	320,1052

Semidirect products G=N:Q with N=C₈.F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.F₅⋊₁C₂ = D₁₀.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.F₅	80	8-	C8.F5:1C2	320,241
C₈.F₅⋊₂C₂ = D₄₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.F₅	80	8+	C8.F5:2C2	320,244
C₈.F₅⋊₃C₂ = D₄₀⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.F₅	80	8+	C8.F5:3C2	320,245
C₈.F₅⋊₄C₂ = Dic₁₀.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.F₅	160	8	C8.F5:4C2	320,1063
C₈.F₅⋊₅C₂ = D₅⋊M₅(2)	φ: trivial image	80	4	C8.F5:5C2	320,1053

Non-split extensions G=N.Q with N=C₈.F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.F₅.₁C₂ = Dic₂₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.F₅	160	8-	C8.F5.1C2	320,248
C₈.F₅.₂C₂ = C₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈.F₅	80	4	C8.F5.2C2	320,183
C₈.F₅.₃C₂ = C₁₆⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈.F₅	80	4	C8.F5.3C2	320,184

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