Extensions 1→N→G→Q→1 with N=C₂×Dic₅ and Q=C₁₀

Direct product G=N×Q with N=C₂×Dic₅ and Q=C₁₀

		d	ρ	Label	ID
Dic₅×C₂×C₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=C₂×Dic₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁C₁₀ = C₅×D₁₀⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5):1C10	400,86
(C₂×Dic₅)⋊₂C₁₀ = C₅×C₂³.D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):2C10	400,91
(C₂×Dic₅)⋊₃C₁₀ = C₅×D₄⋊₂D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5):3C10	400,186
(C₂×Dic₅)⋊₄C₁₀ = C₁₀×C₅⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):4C10	400,190
(C₂×Dic₅)⋊₅C₁₀ = D₅×C₂×C₂₀	φ: trivial image	80		(C2xDic5):5C10	400,182

Non-split extensions G=N.Q with N=C₂×Dic₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁C₁₀ = C₅×C₁₀.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).1C10	400,84
(C₂×Dic₅).₂C₁₀ = C₅×C₄⋊Dic₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).2C10	400,85
(C₂×Dic₅).₃C₁₀ = C₁₀×Dic₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).3C10	400,181
(C₂×Dic₅).₄C₁₀ = C₁₀×C₅⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).4C10	400,139
(C₂×Dic₅).₅C₁₀ = C₅×C₂².F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5).5C10	400,140
(C₂×Dic₅).₆C₁₀ = Dic₅×C₂₀	φ: trivial image	80		(C2xDic5).6C10	400,83

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