Extensions 1→N→G→Q→1 with N=C₄xD₅ and Q=C₂

Direct product G=NxQ with N=C₄xD₅ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xD₅		40		C2xC4xD5	80,36

Semidirect products G=N:Q with N=C₄xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅):₁C₂ = D₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	20	4+	(C4xD5):1C2	80,39
(C₄xD₅):₂C₂ = D₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	40	4-	(C4xD5):2C2	80,40
(C₄xD₅):₃C₂ = Q₈:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	40	4+	(C4xD5):3C2	80,42
(C₄xD₅):₄C₂ = C₄oD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	40	2	(C4xD5):4C2	80,38

Non-split extensions G=N.Q with N=C₄xD₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅).₁C₂ = Q₈xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	40	4-	(C4xD5).1C2	80,41
(C₄xD₅).₂C₂ = C₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	40	2	(C4xD5).2C2	80,5
(C₄xD₅).₃C₂ = C₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	40	4	(C4xD5).3C2	80,29
(C₄xD₅).₄C₂ = C₄:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	20	4	(C4xD5).4C2	80,31
(C₄xD₅).₅C₂ = D₅:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	40	4	(C4xD5).5C2	80,28
(C₄xD₅).₆C₂ = C₄xF₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₅	20	4	(C4xD5).6C2	80,30
(C₄xD₅).₇C₂ = C₈xD₅	φ: trivial image	40	2	(C4xD5).7C2	80,4

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