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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×Dic₅)⋊₁C₂ = D₁₀⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5):1C2	400,72
(C₁₀×Dic₅)⋊₂C₂ = C₁₀.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40		(C10xDic5):2C2	400,73
(C₁₀×Dic₅)⋊₃C₂ = C₅×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5):3C2	400,86
(C₁₀×Dic₅)⋊₄C₂ = C₅×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40		(C10xDic5):4C2	400,91
(C₁₀×Dic₅)⋊₅C₂ = C₂×C₅⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40		(C10xDic5):5C2	400,177
(C₁₀×Dic₅)⋊₆C₂ = Dic₅.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40	4	(C10xDic5):6C2	400,173
(C₁₀×Dic₅)⋊₇C₂ = C₂×D₅×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5):7C2	400,172
(C₁₀×Dic₅)⋊₈C₂ = C₂×Dic₅⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40		(C10xDic5):8C2	400,175
(C₁₀×Dic₅)⋊₉C₂ = C₅×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40	4	(C10xDic5):9C2	400,186
(C₁₀×Dic₅)⋊₁₀C₂ = C₁₀×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40		(C10xDic5):10C2	400,190
(C₁₀×Dic₅)⋊₁₁C₂ = D₅×C₂×C₂₀	φ: trivial image	80		(C10xDic5):11C2	400,182

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×Dic₅).₁C₂ = C₁₀.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).1C2	400,75
(C₁₀×Dic₅).₂C₂ = C₅×C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).2C2	400,85
(C₁₀×Dic₅).₃C₂ = C₁₀×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).3C2	400,139
(C₁₀×Dic₅).₄C₂ = Dic₅⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).4C2	400,74
(C₁₀×Dic₅).₅C₂ = C₂×C₅²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).5C2	400,178
(C₁₀×Dic₅).₆C₂ = C₁₀².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40	4	(C10xDic5).6C2	400,147
(C₁₀×Dic₅).₇C₂ = Dic₅²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).7C2	400,71
(C₁₀×Dic₅).₈C₂ = C₂×C₅²⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).8C2	400,146
(C₁₀×Dic₅).₉C₂ = C₅×C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).9C2	400,84
(C₁₀×Dic₅).₁₀C₂ = C₅×C₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	40	4	(C10xDic5).10C2	400,140
(C₁₀×Dic₅).₁₁C₂ = C₁₀×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₅	80		(C10xDic5).11C2	400,181
(C₁₀×Dic₅).₁₂C₂ = Dic₅×C₂₀	φ: trivial image	80		(C10xDic5).12C2	400,83

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