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

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

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

Semidirect products G=N:Q with N=C₂²⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅⋊₁C₂ = D₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊F₅	40	4+	C2^2:F5:1C2	160,74
C₂²⋊F₅⋊₂C₂ = C₂³⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊F₅	40	4	C2^2:F5:2C2	160,86
C₂²⋊F₅⋊₃C₂ = D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊F₅	20	8+	C2^2:F5:3C2	160,207

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅.C₂ = D₁₀.C₂³	φ: trivial image	40	4	C2^2:F5.C2	160,205

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