Extensions 1→N→G→Q→1 with N=C₄×C₅⋊D₅ and Q=C₂

Direct product G=N×Q with N=C₄×C₅⋊D₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₅⋊D₅		200		C2xC4xC5:D5	400,192

Semidirect products G=N:Q with N=C₄×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₅⋊D₅)⋊₁C₂ = D₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5):1C2	400,165
(C₄×C₅⋊D₅)⋊₂C₂ = C₂₀⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5):2C2	400,171
(C₄×C₅⋊D₅)⋊₃C₂ = D₄×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	100		(C4xC5:D5):3C2	400,195
(C₄×C₅⋊D₅)⋊₄C₂ = C₂₀.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	200		(C4xC5:D5):4C2	400,196
(C₄×C₅⋊D₅)⋊₅C₂ = C₂₀.₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	200		(C4xC5:D5):5C2	400,198
(C₄×C₅⋊D₅)⋊₆C₂ = D₁₀.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5):6C2	400,167
(C₄×C₅⋊D₅)⋊₇C₂ = C₄×D₅²	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5):7C2	400,169
(C₄×C₅⋊D₅)⋊₈C₂ = C₂₀.₅₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	200		(C4xC5:D5):8C2	400,194

Non-split extensions G=N.Q with N=C₄×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₅⋊D₅).₁C₂ = Dic₁₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5).1C2	400,166
(C₄×C₅⋊D₅).₂C₂ = Q₈×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	200		(C4xC5:D5).2C2	400,197
(C₄×C₅⋊D₅).₃C₂ = C₂₀.₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5).3C2	400,61
(C₄×C₅⋊D₅).₄C₂ = C₂₀.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5).4C2	400,63
(C₄×C₅⋊D₅).₅C₂ = C₄₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	200		(C4xC5:D5).5C2	400,93
(C₄×C₅⋊D₅).₆C₂ = C₅²⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	200		(C4xC5:D5).6C2	400,150
(C₄×C₅⋊D₅).₇C₂ = C₂₀⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	100		(C4xC5:D5).7C2	400,152
(C₄×C₅⋊D₅).₈C₂ = C₅²⋊₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5).8C2	400,157
(C₄×C₅⋊D₅).₉C₂ = C₂₀⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5).9C2	400,159
(C₄×C₅⋊D₅).₁₀C₂ = C₂₀.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	200		(C4xC5:D5).10C2	400,149
(C₄×C₅⋊D₅).₁₁C₂ = C₄×C₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	100		(C4xC5:D5).11C2	400,151
(C₄×C₅⋊D₅).₁₂C₂ = C₂₀.₁₁F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5).12C2	400,156
(C₄×C₅⋊D₅).₁₃C₂ = C₄×C₅²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₅⋊D₅	40	4	(C4xC5:D5).13C2	400,158
(C₄×C₅⋊D₅).₁₄C₂ = C₈×C₅⋊D₅	φ: trivial image	200		(C4xC5:D5).14C2	400,92

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