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

Direct product G=N×Q with N=C₂²×D₅ and Q=D₅

		d	ρ	Label	ID
C₂²×D₅²		40		C2^2xD5^2	400,218

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊₁D₅ = C₂×C₅²⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5):1D5	400,176
(C₂²×D₅)⋊₂D₅ = C₂×C₅⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₅	40		(C2^2xD5):2D5	400,177
(C₂²×D₅)⋊₃D₅ = D₅×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₅	40	4	(C2^2xD5):3D5	400,179

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).₁D₅ = D₁₀⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5).1D5	400,72
(C₂²×D₅).₂D₅ = D₁₀.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₅	40	4	(C2^2xD5).2D5	400,148
(C₂²×D₅).₃D₅ = C₂²×D₅.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5).3D5	400,215
(C₂²×D₅).₄D₅ = C₂×D₅×Dic₅	φ: trivial image	80		(C2^2xD5).4D5	400,172

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