Extensions 1→N→G→Q→1 with N=C₂×C₅⋊F₅ and Q=C₂

Direct product G=N×Q with N=C₂×C₅⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₂²×C₅⋊F₅		100		C2^2xC5:F5	400,216

Semidirect products G=N:Q with N=C₂×C₅⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊F₅)⋊₁C₂ = D₁₀⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊F₅	20	8+	(C2xC5:F5):1C2	400,125
(C₂×C₅⋊F₅)⋊₂C₂ = C₁₀²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊F₅	100		(C2xC5:F5):2C2	400,155
(C₂×C₅⋊F₅)⋊₃C₂ = C₂×D₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊F₅	20	8+	(C2xC5:F5):3C2	400,210

Non-split extensions G=N.Q with N=C₂×C₅⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊F₅).₁C₂ = C₅²⋊₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊F₅	20	8+	(C2xC5:F5).1C2	400,124
(C₂×C₅⋊F₅).₂C₂ = Dic₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊F₅	20	8+	(C2xC5:F5).2C2	400,126
(C₂×C₅⋊F₅).₃C₂ = C₂₀⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊F₅	100		(C2xC5:F5).3C2	400,152
(C₂×C₅⋊F₅).₄C₂ = C₂×C₅²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊F₅	20	8+	(C2xC5:F5).4C2	400,208
(C₂×C₅⋊F₅).₅C₂ = C₄×C₅⋊F₅	φ: trivial image	100		(C2xC5:F5).5C2	400,151

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