Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=Dic₅

Direct product G=N×Q with N=C₂×D₄ and Q=Dic₅

		d	ρ	Label	ID
C₂×D₄×Dic₅		160		C2xD4xDic5	320,1467

Semidirect products G=N:Q with N=C₂×D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁Dic₅ = C₄⋊C₄⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×D₄	80		(C2xD4):1Dic5	320,95
(C₂×D₄)⋊₂Dic₅ = C₄²⋊₃Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×D₄	40	4	(C2xD4):2Dic5	320,103
(C₂×D₄)⋊₃Dic₅ = C₂×D₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4):3Dic5	320,841
(C₂×D₄)⋊₄Dic₅ = (D₄×C₁₀)⋊₁₈C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):4Dic5	320,842
(C₂×D₄)⋊₅Dic₅ = C₂×C₂³⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):5Dic5	320,846
(C₂×D₄)⋊₆Dic₅ = C₂⁴.₁₈D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4):6Dic5	320,847
(C₂×D₄)⋊₇Dic₅ = C₂⁴.₁₉D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4):7Dic5	320,848
(C₂×D₄)⋊₈Dic₅ = C₂×D₄⋊₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):8Dic5	320,862
(C₂×D₄)⋊₉Dic₅ = (D₄×C₁₀)⋊₂₁C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4):9Dic5	320,863
(C₂×D₄)⋊₁₀Dic₅ = (D₄×C₁₀)⋊₂₂C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4):10Dic5	320,867
(C₂×D₄)⋊₁₁Dic₅ = C₂⁴.₃₈D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):11Dic5	320,1470

Non-split extensions G=N.Q with N=C₂×D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁Dic₅ = C₄².₇D₁₀	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×D₄	160		(C2xD4).1Dic5	320,98
(C₂×D₄).₂Dic₅ = C₄².Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×D₄	80	4	(C2xD4).2Dic5	320,100
(C₂×D₄).₃Dic₅ = C₂₀.₉D₈	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×D₄	160		(C2xD4).3Dic5	320,102
(C₂×D₄).₄Dic₅ = C₂₀.₅₇D₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).4Dic5	320,92
(C₂×D₄).₅Dic₅ = C₄².₄₇D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).5Dic5	320,638
(C₂×D₄).₆Dic₅ = C₂₀⋊₇M₄(2)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).6Dic5	320,639
(C₂×D₄).₇Dic₅ = C₂×C₂₀.D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4).7Dic5	320,843
(C₂×D₄).₈Dic₅ = (D₄×C₁₀).₂₄C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).8Dic5	320,861
(C₂×D₄).₉Dic₅ = (D₄×C₁₀).₂₉C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4).9Dic5	320,864
(C₂×D₄).₁₀Dic₅ = C₂₀.₇₆C₂⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4).10Dic5	320,1491
(C₂×D₄).₁₁Dic₅ = D₄×C₅⋊₂C₈	φ: trivial image	160		(C2xD4).11Dic5	320,637
(C₂×D₄).₁₂Dic₅ = C₂×D₄.Dic₅	φ: trivial image	160		(C2xD4).12Dic5	320,1490

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