Extensions 1→N→G→Q→1 with N=C₂×Dic₅ and Q=D₅

Direct product G=N×Q with N=C₂×Dic₅ and Q=D₅

		d	ρ	Label	ID
C₂×D₅×Dic₅		80		C2xD5xDic5	400,172

Semidirect products G=N:Q with N=C₂×Dic₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁D₅ = D₁₀⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5):1D5	400,72
(C₂×Dic₅)⋊₂D₅ = C₁₀.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):2D5	400,73
(C₂×Dic₅)⋊₃D₅ = Dic₅.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5):3D5	400,173
(C₂×Dic₅)⋊₄D₅ = C₂×C₅⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):4D5	400,177
(C₂×Dic₅)⋊₅D₅ = C₂×Dic₅⋊₂D₅	φ: trivial image	40		(C2xDic5):5D5	400,175

Non-split extensions G=N.Q with N=C₂×Dic₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁D₅ = Dic₅⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).1D5	400,74
(C₂×Dic₅).₂D₅ = C₁₀.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).2D5	400,75
(C₂×Dic₅).₃D₅ = C₂×C₅²⋊₂Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).3D5	400,178
(C₂×Dic₅).₄D₅ = C₂×C₅²⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).4D5	400,146
(C₂×Dic₅).₅D₅ = C₁₀².C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5).5D5	400,147
(C₂×Dic₅).₆D₅ = Dic₅²	φ: trivial image	80		(C2xDic5).6D5	400,71

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