Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=C₂

Direct product G=N×Q with N=C₄×D₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₅		40		C2xC4xD5	80,36

Semidirect products G=N:Q with N=C₄×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁C₂ = D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	20	4+	(C4xD5):1C2	80,39
(C₄×D₅)⋊₂C₂ = D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	40	4-	(C4xD5):2C2	80,40
(C₄×D₅)⋊₃C₂ = Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	40	4+	(C4xD5):3C2	80,42
(C₄×D₅)⋊₄C₂ = C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	40	2	(C4xD5):4C2	80,38

Non-split extensions G=N.Q with N=C₄×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁C₂ = Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	40	4-	(C4xD5).1C2	80,41
(C₄×D₅).₂C₂ = C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	40	2	(C4xD5).2C2	80,5
(C₄×D₅).₃C₂ = C₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	40	4	(C4xD5).3C2	80,29
(C₄×D₅).₄C₂ = C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	20	4	(C4xD5).4C2	80,31
(C₄×D₅).₅C₂ = D₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	40	4	(C4xD5).5C2	80,28
(C₄×D₅).₆C₂ = C₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₅	20	4	(C4xD5).6C2	80,30
(C₄×D₅).₇C₂ = C₈×D₅	φ: trivial image	40	2	(C4xD5).7C2	80,4

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