Extensions 1→N→G→Q→1 with N=C₅×Dic₁₀ and Q=C₂

Direct product G=N×Q with N=C₅×Dic₁₀ and Q=C₂

		d	ρ	Label	ID
C₁₀×Dic₁₀		80		C10xDic10	400,181

Semidirect products G=N:Q with N=C₅×Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₁₀)⋊₁C₂ = D₂₀.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	4	(C5xDic10):1C2	400,66
(C₅×Dic₁₀)⋊₂C₂ = C₅²⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	40	4+	(C5xDic10):2C2	400,68
(C₅×Dic₁₀)⋊₃C₂ = C₅×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	40	4	(C5xDic10):3C2	400,88
(C₅×Dic₁₀)⋊₄C₂ = D₅×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	4-	(C5xDic10):4C2	400,163
(C₅×Dic₁₀)⋊₅C₂ = D₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	40	4	(C5xDic10):5C2	400,165
(C₅×Dic₁₀)⋊₆C₂ = Dic₁₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	40	4	(C5xDic10):6C2	400,166
(C₅×Dic₁₀)⋊₇C₂ = Dic₁₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	40	4+	(C5xDic10):7C2	400,168
(C₅×Dic₁₀)⋊₈C₂ = C₅×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	40	4	(C5xDic10):8C2	400,186
(C₅×Dic₁₀)⋊₉C₂ = C₅×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	4	(C5xDic10):9C2	400,187
(C₅×Dic₁₀)⋊₁₀C₂ = C₅×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	2	(C5xDic10):10C2	400,78
(C₅×Dic₁₀)⋊₁₁C₂ = C₅×C₄○D₂₀	φ: trivial image	40	2	(C5xDic10):11C2	400,184

Non-split extensions G=N.Q with N=C₅×Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₁₀).₁C₂ = C₅²⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	4	(C5xDic10).1C2	400,69
(C₅×Dic₁₀).₂C₂ = C₅²⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	4-	(C5xDic10).2C2	400,70
(C₅×Dic₁₀).₃C₂ = C₅×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	4	(C5xDic10).3C2	400,90
(C₅×Dic₁₀).₄C₂ = C₅×Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₁₀	80	2	(C5xDic10).4C2	400,80

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