Extensions 1→N→G→Q→1 with N=C₂×C₅⋊D₅ and Q=C₂

Direct product G=N×Q with N=C₂×C₅⋊D₅ and Q=C₂

		d	ρ	Label	ID
C₂²×C₅⋊D₅		100		C2^2xC5:D5	200,51

Semidirect products G=N:Q with N=C₂×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊D₅)⋊₁C₂ = C₅⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5):1C2	200,25
(C₂×C₅⋊D₅)⋊₂C₂ = C₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊D₅	100		(C2xC5:D5):2C2	200,34
(C₂×C₅⋊D₅)⋊₃C₂ = C₅²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊D₅	100		(C2xC5:D5):3C2	200,36
(C₂×C₅⋊D₅)⋊₄C₂ = C₂×D₅²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5):4C2	200,49

Non-split extensions G=N.Q with N=C₂×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊D₅).₁C₂ = Dic₅⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5).1C2	200,23
(C₂×C₅⋊D₅).₂C₂ = C₂×C₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊D₅	50		(C2xC5:D5).2C2	200,47
(C₂×C₅⋊D₅).₃C₂ = C₂×C₅²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊D₅	20	4+	(C2xC5:D5).3C2	200,48
(C₂×C₅⋊D₅).₄C₂ = C₄×C₅⋊D₅	φ: trivial image	100		(C2xC5:D5).4C2	200,33

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