Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=F₅

Direct product G=N×Q with N=C₂×D₄ and Q=F₅

		d	ρ	Label	ID
C₂×D₄×F₅		40		C2xD4xF5	320,1595

Semidirect products G=N:Q with N=C₂×D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁F₅ = D₁₀.SD₁₆	φ: F₅/C₅ → C₄ ⊆ Out C₂×D₄	80		(C2xD4):1F5	320,258
(C₂×D₄)⋊₂F₅ = (C₂×D₄)⋊F₅	φ: F₅/C₅ → C₄ ⊆ Out C₂×D₄	40	8+	(C2xD4):2F5	320,260
(C₂×D₄)⋊₃F₅ = C₂×D₂₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):3F5	320,1104
(C₂×D₄)⋊₄F₅ = (D₄×C₁₀)⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	40	8+	(C2xD4):4F5	320,1105
(C₂×D₄)⋊₅F₅ = C₂×D₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):5F5	320,1106
(C₂×D₄)⋊₆F₅ = (C₂×D₄)⋊₆F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	80	8-	(C2xD4):6F5	320,1107
(C₂×D₄)⋊₇F₅ = (C₂×D₄)⋊₇F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	40	8+	(C2xD4):7F5	320,1108
(C₂×D₄)⋊₈F₅ = (C₂×D₄)⋊₈F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	80	8-	(C2xD4):8F5	320,1109
(C₂×D₄)⋊₉F₅ = (C₂×F₅)⋊D₄	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	40		(C2xD4):9F5	320,1117
(C₂×D₄)⋊₁₀F₅ = C₂.(D₄×F₅)	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):10F5	320,1118
(C₂×D₄)⋊₁₁F₅ = D₁₀.C₂⁴	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	40	8+	(C2xD4):11F5	320,1596

Non-split extensions G=N.Q with N=C₂×D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁F₅ = (C₂×D₄).F₅	φ: F₅/C₅ → C₄ ⊆ Out C₂×D₄	160		(C2xD4).1F5	320,259
(C₂×D₄).₂F₅ = (D₄×C₁₀).C₄	φ: F₅/C₅ → C₄ ⊆ Out C₂×D₄	80	8-	(C2xD4).2F5	320,261
(C₂×D₄).₃F₅ = Dic₅.SD₁₆	φ: F₅/C₅ → C₄ ⊆ Out C₂×D₄	160		(C2xD4).3F5	320,263
(C₂×D₄).₄F₅ = Dic₅.₂₃D₈	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).4F5	320,262
(C₂×D₄).₅F₅ = C₅⋊C₈⋊₇D₄	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).5F5	320,1111
(C₂×D₄).₆F₅ = C₂₀⋊₂M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).6F5	320,1112
(C₂×D₄).₇F₅ = (C₂×D₄).₇F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).7F5	320,1113
(C₂×D₄).₈F₅ = (C₂×D₄).₈F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).8F5	320,1114
(C₂×D₄).₉F₅ = (C₂×D₄).₉F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	80	8-	(C2xD4).9F5	320,1115
(C₂×D₄).₁₀F₅ = D₅⋊(C₄.D₄)	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	40	8+	(C2xD4).10F5	320,1116
(C₂×D₄).₁₁F₅ = Dic₅.C₂⁴	φ: F₅/D₅ → C₂ ⊆ Out C₂×D₄	80	8-	(C2xD4).11F5	320,1594
(C₂×D₄).₁₂F₅ = D₄×C₅⋊C₈	φ: trivial image	160		(C2xD4).12F5	320,1110
(C₂×D₄).₁₃F₅ = C₂×D₄.F₅	φ: trivial image	160		(C2xD4).13F5	320,1593

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