Extensions 1→N→G→Q→1 with N=C₂²×C₅⋊D₅ and Q=C₂

Direct product G=N×Q with N=C₂²×C₅⋊D₅ and Q=C₂

		d	ρ	Label	ID
C₂³×C₅⋊D₅		200		C2^3xC5:D5	400,220

Semidirect products G=N:Q with N=C₂²×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₅⋊D₅)⋊₁C₂ = C₂×C₅⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	40		(C2^2xC5:D5):1C2	400,177
(C₂²×C₅⋊D₅)⋊₂C₂ = D₁₀⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	20	4+	(C2^2xC5:D5):2C2	400,180
(C₂²×C₅⋊D₅)⋊₃C₂ = C₂×C₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	200		(C2^2xC5:D5):3C2	400,193
(C₂²×C₅⋊D₅)⋊₄C₂ = D₄×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	100		(C2^2xC5:D5):4C2	400,195
(C₂²×C₅⋊D₅)⋊₅C₂ = C₂×C₅²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	200		(C2^2xC5:D5):5C2	400,200
(C₂²×C₅⋊D₅)⋊₆C₂ = C₂²×D₅²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	40		(C2^2xC5:D5):6C2	400,218

Non-split extensions G=N.Q with N=C₂²×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₅⋊D₅).₁C₂ = C₁₀.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	40		(C2^2xC5:D5).1C2	400,73
(C₂²×C₅⋊D₅).₂C₂ = C₁₀.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	200		(C2^2xC5:D5).2C2	400,102
(C₂²×C₅⋊D₅).₃C₂ = C₂×Dic₅⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	40		(C2^2xC5:D5).3C2	400,175
(C₂²×C₅⋊D₅).₄C₂ = C₁₀²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	100		(C2^2xC5:D5).4C2	400,155
(C₂²×C₅⋊D₅).₅C₂ = C₁₀²⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	20	4+	(C2^2xC5:D5).5C2	400,162
(C₂²×C₅⋊D₅).₆C₂ = C₂²×C₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	100		(C2^2xC5:D5).6C2	400,216
(C₂²×C₅⋊D₅).₇C₂ = C₂²×C₅²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊D₅	40		(C2^2xC5:D5).7C2	400,217
(C₂²×C₅⋊D₅).₈C₂ = C₂×C₄×C₅⋊D₅	φ: trivial image	200		(C2^2xC5:D5).8C2	400,192

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