Extensions 1→N→G→Q→1 with N=C₅×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₅×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₁₀×Dic₅		40		C10xDic5	200,30

Semidirect products G=N:Q with N=C₅×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₅)⋊₁C₂ = C₅⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	20	4+	(C5xDic5):1C2	200,25
(C₅×Dic₅)⋊₂C₂ = D₅×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	40	4-	(C5xDic5):2C2	200,22
(C₅×Dic₅)⋊₃C₂ = Dic₅⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	20	4+	(C5xDic5):3C2	200,23
(C₅×Dic₅)⋊₄C₂ = C₅×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	20	2	(C5xDic5):4C2	200,31
(C₅×Dic₅)⋊₅C₂ = D₅×C₂₀	φ: trivial image	40	2	(C5xDic5):5C2	200,28

Non-split extensions G=N.Q with N=C₅×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₅).₁C₂ = C₅×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).1C2	200,18
(C₅×Dic₅).₂C₂ = C₅²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	40	4-	(C5xDic5).2C2	200,26
(C₅×Dic₅).₃C₂ = C₅²⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).3C2	200,19
(C₅×Dic₅).₄C₂ = C₅×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₅	40	2	(C5xDic5).4C2	200,27

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