Extensions 1→N→G→Q→1 with N=D₅×C₁₀ and Q=C₂

Direct product G=N×Q with N=D₅×C₁₀ and Q=C₂

		d	ρ	Label	ID
D₅×C₂×C₁₀		40		D5xC2xC10	200,50

Semidirect products G=N:Q with N=D₅×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₀)⋊₁C₂ = C₅²⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	40	4-	(D5xC10):1C2	200,24
(D₅×C₁₀)⋊₂C₂ = C₅⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	20	4+	(D5xC10):2C2	200,25
(D₅×C₁₀)⋊₃C₂ = C₅×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	40	2	(D5xC10):3C2	200,29
(D₅×C₁₀)⋊₄C₂ = C₅×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	20	2	(D5xC10):4C2	200,31
(D₅×C₁₀)⋊₅C₂ = C₂×D₅²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	20	4+	(D5xC10):5C2	200,49

Non-split extensions G=N.Q with N=D₅×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₀).₁C₂ = D₅×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	40	4-	(D5xC10).1C2	200,22
(D₅×C₁₀).₂C₂ = C₁₀×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10).2C2	200,45
(D₅×C₁₀).₃C₂ = C₂×D₅.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10).3C2	200,46
(D₅×C₁₀).₄C₂ = D₅×C₂₀	φ: trivial image	40	2	(D5xC10).4C2	200,28

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