Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=F₅

Direct product G=NxQ with N=C₂xD₄ and Q=F₅

		d	ρ	Label	ID
C₂xD₄xF₅		40		C2xD4xF5	320,1595

Semidirect products G=N:Q with N=C₂xD₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁F₅ = D₁₀.SD₁₆	φ: F₅/C₅ → C₄ ⊆ Out C₂xD₄	80		(C2xD4):1F5	320,258
(C₂xD₄):₂F₅ = (C₂xD₄):F₅	φ: F₅/C₅ → C₄ ⊆ Out C₂xD₄	40	8+	(C2xD4):2F5	320,260
(C₂xD₄):₃F₅ = C₂xD₂₀:C₄	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):3F5	320,1104
(C₂xD₄):₄F₅ = (D₄xC₁₀):C₄	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	40	8+	(C2xD4):4F5	320,1105
(C₂xD₄):₅F₅ = C₂xD₄:F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):5F5	320,1106
(C₂xD₄):₆F₅ = (C₂xD₄):₆F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	80	8-	(C2xD4):6F5	320,1107
(C₂xD₄):₇F₅ = (C₂xD₄):₇F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	40	8+	(C2xD4):7F5	320,1108
(C₂xD₄):₈F₅ = (C₂xD₄):₈F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	80	8-	(C2xD4):8F5	320,1109
(C₂xD₄):₉F₅ = (C₂xF₅):D₄	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	40		(C2xD4):9F5	320,1117
(C₂xD₄):₁₀F₅ = C₂.(D₄xF₅)	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):10F5	320,1118
(C₂xD₄):₁₁F₅ = D₁₀.C₂⁴	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	40	8+	(C2xD4):11F5	320,1596

Non-split extensions G=N.Q with N=C₂xD₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁F₅ = (C₂xD₄).F₅	φ: F₅/C₅ → C₄ ⊆ Out C₂xD₄	160		(C2xD4).1F5	320,259
(C₂xD₄).₂F₅ = (D₄xC₁₀).C₄	φ: F₅/C₅ → C₄ ⊆ Out C₂xD₄	80	8-	(C2xD4).2F5	320,261
(C₂xD₄).₃F₅ = Dic₅.SD₁₆	φ: F₅/C₅ → C₄ ⊆ Out C₂xD₄	160		(C2xD4).3F5	320,263
(C₂xD₄).₄F₅ = Dic₅.₂₃D₈	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).4F5	320,262
(C₂xD₄).₅F₅ = C₅:C₈:₇D₄	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).5F5	320,1111
(C₂xD₄).₆F₅ = C₂₀:₂M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).6F5	320,1112
(C₂xD₄).₇F₅ = (C₂xD₄).₇F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).7F5	320,1113
(C₂xD₄).₈F₅ = (C₂xD₄).₈F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).8F5	320,1114
(C₂xD₄).₉F₅ = (C₂xD₄).₉F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	80	8-	(C2xD4).9F5	320,1115
(C₂xD₄).₁₀F₅ = D₅:(C₄.D₄)	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	40	8+	(C2xD4).10F5	320,1116
(C₂xD₄).₁₁F₅ = Dic₅.C₂⁴	φ: F₅/D₅ → C₂ ⊆ Out C₂xD₄	80	8-	(C2xD4).11F5	320,1594
(C₂xD₄).₁₂F₅ = D₄xC₅:C₈	φ: trivial image	160		(C2xD4).12F5	320,1110
(C₂xD₄).₁₃F₅ = C₂xD₄.F₅	φ: trivial image	160		(C2xD4).13F5	320,1593

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