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		80		C2xC8:F5	320,1055

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊F₅⋊₁C₂ = D₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊F₅	40	8+	C8:F5:1C2	320,1069
C₈⋊F₅⋊₂C₂ = D₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊F₅	80	8-	C8:F5:2C2	320,1071
C₈⋊F₅⋊₃C₂ = Q₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊F₅	80	8+	C8:F5:3C2	320,1079
C₈⋊F₅⋊₄C₂ = SD₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊F₅	40	8	C8:F5:4C2	320,1073
C₈⋊F₅⋊₅C₂ = SD₁₆⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊F₅	80	8	C8:F5:5C2	320,1075
C₈⋊F₅⋊₆C₂ = M₄(2)×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊F₅	40	8	C8:F5:6C2	320,1064
C₈⋊F₅⋊₇C₂ = M₄(2)⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊F₅	80	8	C8:F5:7C2	320,1066
C₈⋊F₅⋊₈C₂ = C₂₀.₁₂C₄²	φ: trivial image	80	4	C8:F5:8C2	320,1056

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	80	8-	C8:F5.1C2	320,1077
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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