Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²⋊F₅

Direct product G=N×Q with N=C₂ and Q=C₂²⋊F₅

		d	ρ	Label	ID
C₂×C₂²⋊F₅		40		C2xC2^2:F5	160,212

Non-split extensions G=N.Q with N=C₂ and Q=C₂²⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²⋊F₅) = D₁₀⋊C₈	central extension (φ=1)	80		C2.1(C2^2:F5)	160,78
C₂.₂(C₂²⋊F₅) = D₁₀.₃Q₈	central extension (φ=1)	40		C2.2(C2^2:F5)	160,81
C₂.₃(C₂²⋊F₅) = C₂³.₂F₅	central extension (φ=1)	80		C2.3(C2^2:F5)	160,87
C₂.₄(C₂²⋊F₅) = D₁₀.D₄	central stem extension (φ=1)	40	4+	C2.4(C2^2:F5)	160,74
C₂.₅(C₂²⋊F₅) = Dic₅.D₄	central stem extension (φ=1)	80	4-	C2.5(C2^2:F5)	160,80
C₂.₆(C₂²⋊F₅) = D₂₀⋊C₄	central stem extension (φ=1)	40	8+	C2.6(C2^2:F5)	160,82
C₂.₇(C₂²⋊F₅) = D₄⋊F₅	central stem extension (φ=1)	40	8-	C2.7(C2^2:F5)	160,83
C₂.₈(C₂²⋊F₅) = Q₈⋊F₅	central stem extension (φ=1)	40	8-	C2.8(C2^2:F5)	160,84
C₂.₉(C₂²⋊F₅) = Q₈⋊₂F₅	central stem extension (φ=1)	40	8+	C2.9(C2^2:F5)	160,85
C₂.₁₀(C₂²⋊F₅) = C₂³⋊F₅	central stem extension (φ=1)	40	4	C2.10(C2^2:F5)	160,86
C₂.₁₁(C₂²⋊F₅) = C₂³.F₅	central stem extension (φ=1)	40	4	C2.11(C2^2:F5)	160,88

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