Extensions 1→N→G→Q→1 with N=C₅xDic₁₀ and Q=C₂

Direct product G=NxQ with N=C₅xDic₁₀ and Q=C₂

		d	ρ	Label	ID
C₁₀xDic₁₀		80		C10xDic10	400,181

Semidirect products G=N:Q with N=C₅xDic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₁₀):₁C₂ = D₂₀.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	4	(C5xDic10):1C2	400,66
(C₅xDic₁₀):₂C₂ = C₅²:₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	40	4+	(C5xDic10):2C2	400,68
(C₅xDic₁₀):₃C₂ = C₅xD₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	40	4	(C5xDic10):3C2	400,88
(C₅xDic₁₀):₄C₂ = D₅xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	4-	(C5xDic10):4C2	400,163
(C₅xDic₁₀):₅C₂ = D₂₀:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	40	4	(C5xDic10):5C2	400,165
(C₅xDic₁₀):₆C₂ = Dic₁₀:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	40	4	(C5xDic10):6C2	400,166
(C₅xDic₁₀):₇C₂ = Dic₁₀:₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	40	4+	(C5xDic10):7C2	400,168
(C₅xDic₁₀):₈C₂ = C₅xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	40	4	(C5xDic10):8C2	400,186
(C₅xDic₁₀):₉C₂ = C₅xQ₈xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	4	(C5xDic10):9C2	400,187
(C₅xDic₁₀):₁₀C₂ = C₅xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	2	(C5xDic10):10C2	400,78
(C₅xDic₁₀):₁₁C₂ = C₅xC₄oD₂₀	φ: trivial image	40	2	(C5xDic10):11C2	400,184

Non-split extensions G=N.Q with N=C₅xDic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₁₀).₁C₂ = C₅²:₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	4	(C5xDic10).1C2	400,69
(C₅xDic₁₀).₂C₂ = C₅²:₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	4-	(C5xDic10).2C2	400,70
(C₅xDic₁₀).₃C₂ = C₅xC₅:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	4	(C5xDic10).3C2	400,90
(C₅xDic₁₀).₄C₂ = C₅xDic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xDic₁₀	80	2	(C5xDic10).4C2	400,80

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