Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=Dic₅

Direct product G=N×Q with N=C₂×Q₈ and Q=Dic₅

		d	ρ	Label	ID
C₂×Q₈×Dic₅		320		C2xQ8xDic5	320,1483

Semidirect products G=N:Q with N=C₂×Q₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁Dic₅ = C₁₀.₂₉C₄≀C₂	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×Q₈	80		(C2xQ8):1Dic5	320,96
(C₂×Q₈)⋊₂Dic₅ = C₄²⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×Q₈	80	4	(C2xQ8):2Dic5	320,99
(C₂×Q₈)⋊₃Dic₅ = C₂×Q₈⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8):3Dic5	320,851
(C₂×Q₈)⋊₄Dic₅ = (Q₈×C₁₀)⋊₁₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8):4Dic5	320,852
(C₂×Q₈)⋊₅Dic₅ = (Q₈×C₁₀)⋊₁₇C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8):5Dic5	320,857
(C₂×Q₈)⋊₆Dic₅ = C₂×D₄⋊₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):6Dic5	320,862
(C₂×Q₈)⋊₇Dic₅ = (D₄×C₁₀)⋊₂₁C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):7Dic5	320,863
(C₂×Q₈)⋊₈Dic₅ = (D₄×C₁₀)⋊₂₂C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):8Dic5	320,867
(C₂×Q₈)⋊₉Dic₅ = C₁₀.₄₂2_-¹⁺⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8):9Dic5	320,1484

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁Dic₅ = C₄².₇D₁₀	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×Q₈	160		(C2xQ8).1Dic5	320,98
(C₂×Q₈).₂Dic₅ = C₂₀.₅Q₁₆	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×Q₈	320		(C2xQ8).2Dic5	320,104
(C₂×Q₈).₃Dic₅ = C₄².₃Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×Q₈	80	4	(C2xQ8).3Dic5	320,106
(C₂×Q₈).₄Dic₅ = C₂₀.₂₆Q₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8).4Dic5	320,93
(C₂×Q₈).₅Dic₅ = C₄².₂₁₀D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	320		(C2xQ8).5Dic5	320,651
(C₂×Q₈).₆Dic₅ = C₂×C₂₀.₁₀D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).6Dic5	320,853
(C₂×Q₈).₇Dic₅ = (D₄×C₁₀).₂₄C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).7Dic5	320,861
(C₂×Q₈).₈Dic₅ = C₂₀.₇₆C₂⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8).8Dic5	320,1491
(C₂×Q₈).₉Dic₅ = Q₈×C₅⋊₂C₈	φ: trivial image	320		(C2xQ8).9Dic5	320,650
(C₂×Q₈).₁₀Dic₅ = C₂×D₄.Dic₅	φ: trivial image	160		(C2xQ8).10Dic5	320,1490

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