Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=F₅

Direct product G=N×Q with N=C₂×Q₈ and Q=F₅

		d	ρ	Label	ID
C₂×Q₈×F₅		80		C2xQ8xF5	320,1599

Semidirect products G=N:Q with N=C₂×Q₈ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁F₅ = D₁₀.Q₁₆	φ: F₅/C₅ → C₄ ⊆ Out C₂×Q₈	80		(C2xQ8):1F5	320,264
(C₂×Q₈)⋊₂F₅ = (C₂×Q₈)⋊F₅	φ: F₅/C₅ → C₄ ⊆ Out C₂×Q₈	80	8+	(C2xQ8):2F5	320,266
(C₂×Q₈)⋊₃F₅ = C₂×Q₈⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):3F5	320,1119
(C₂×Q₈)⋊₄F₅ = (C₂×Q₈)⋊₄F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80	8-	(C2xQ8):4F5	320,1120
(C₂×Q₈)⋊₅F₅ = C₂×Q₈⋊₂F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):5F5	320,1121
(C₂×Q₈)⋊₆F₅ = (C₂×Q₈)⋊₆F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80	8+	(C2xQ8):6F5	320,1122
(C₂×Q₈)⋊₇F₅ = (C₂×Q₈)⋊₇F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80	8+	(C2xQ8):7F5	320,1123
(C₂×Q₈)⋊₈F₅ = (C₂×F₅)⋊Q₈	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):8F5	320,1128
(C₂×Q₈)⋊₉F₅ = D₅.2_-¹⁺⁴	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80	8-	(C2xQ8):9F5	320,1600

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁F₅ = (C₂×Q₈).F₅	φ: F₅/C₅ → C₄ ⊆ Out C₂×Q₈	160		(C2xQ8).1F5	320,265
(C₂×Q₈).₂F₅ = (Q₈×C₁₀).C₄	φ: F₅/C₅ → C₄ ⊆ Out C₂×Q₈	80	8-	(C2xQ8).2F5	320,267
(C₂×Q₈).₃F₅ = Dic₅.Q₁₆	φ: F₅/C₅ → C₄ ⊆ Out C₂×Q₈	320		(C2xQ8).3F5	320,269
(C₂×Q₈).₄F₅ = Dic₅.₁₂Q₁₆	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8).4F5	320,268
(C₂×Q₈).₅F₅ = (C₂×Q₈).₅F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).5F5	320,1125
(C₂×Q₈).₆F₅ = C₂₀.₆M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8).6F5	320,1126
(C₂×Q₈).₇F₅ = (C₂×Q₈).₇F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80	8-	(C2xQ8).7F5	320,1127
(C₂×Q₈).₈F₅ = Dic₅.₂₀C₂⁴	φ: F₅/D₅ → C₂ ⊆ Out C₂×Q₈	80	8+	(C2xQ8).8F5	320,1598
(C₂×Q₈).₉F₅ = Q₈×C₅⋊C₈	φ: trivial image	320		(C2xQ8).9F5	320,1124
(C₂×Q₈).₁₀F₅ = C₂×Q₈.F₅	φ: trivial image	160		(C2xQ8).10F5	320,1597

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