Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=F₅

Direct product G=NxQ with N=C₂xC₄ and Q=F₅

		d	ρ	Label	ID
C₂xC₄xF₅		40		C2xC4xF5	160,203

Semidirect products G=N:Q with N=C₂xC₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):F₅ = D₁₀.D₄	φ: F₅/C₅ → C₄ ⊆ Aut C₂xC₄	40	4+	(C2xC4):F5	160,74
(C₂xC₄):₂F₅ = D₁₀.₃Q₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	40		(C2xC4):2F5	160,81
(C₂xC₄):₃F₅ = C₂xC₄:F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	40		(C2xC4):3F5	160,204
(C₂xC₄):₄F₅ = D₁₀.C₂³	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	40	4	(C2xC4):4F5	160,205

Non-split extensions G=N.Q with N=C₂xC₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).F₅ = Dic₅.D₄	φ: F₅/C₅ → C₄ ⊆ Aut C₂xC₄	80	4-	(C2xC4).F5	160,80
(C₂xC₄).₂F₅ = C₁₀.C₄²	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).2F5	160,77
(C₂xC₄).₃F₅ = D₁₀:C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).3F5	160,78
(C₂xC₄).₄F₅ = Dic₅:C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).4F5	160,79
(C₂xC₄).₅F₅ = C₂₀.C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	80	4	(C2xC4).5F5	160,73
(C₂xC₄).₆F₅ = C₂₀:C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).6F5	160,76
(C₂xC₄).₇F₅ = C₂xC₄.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).7F5	160,201
(C₂xC₄).₈F₅ = D₅:M₄(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₂xC₄	40	4	(C2xC4).8F5	160,202
(C₂xC₄).₉F₅ = C₂xC₅:C₁₆	central extension (φ=1)	160		(C2xC4).9F5	160,72
(C₂xC₄).₁₀F₅ = C₄xC₅:C₈	central extension (φ=1)	160		(C2xC4).10F5	160,75
(C₂xC₄).₁₁F₅ = C₂xD₅:C₈	central extension (φ=1)	80		(C2xC4).11F5	160,200

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