Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=Dic₅

Direct product G=N×Q with N=C₂×C₄ and Q=Dic₅

		d	ρ	Label	ID
C₂×C₄×Dic₅		160		C2xC4xDic5	160,143

Semidirect products G=N:Q with N=C₂×C₄ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊Dic₅ = C₂³⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₄	40	4	(C2xC4):Dic5	160,41
(C₂×C₄)⋊₂Dic₅ = C₁₀.₁₀C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	160		(C2xC4):2Dic5	160,38
(C₂×C₄)⋊₃Dic₅ = C₂×C₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	160		(C2xC4):3Dic5	160,146
(C₂×C₄)⋊₄Dic₅ = C₂³.₂₁D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4):4Dic5	160,147

Non-split extensions G=N.Q with N=C₂×C₄ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).Dic₅ = C₂₀.₁₀D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂×C₄	80	4	(C2xC4).Dic5	160,43
(C₂×C₄).₂Dic₅ = C₄².D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	160		(C2xC4).2Dic5	160,10
(C₂×C₄).₃Dic₅ = C₂₀⋊₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	160		(C2xC4).3Dic5	160,11
(C₂×C₄).₄Dic₅ = C₂₀.₅₅D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4).4Dic5	160,37
(C₂×C₄).₅Dic₅ = C₂₀.₄C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	80	2	(C2xC4).5Dic5	160,19
(C₂×C₄).₆Dic₅ = C₂×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4).6Dic5	160,142
(C₂×C₄).₇Dic₅ = C₄×C₅⋊₂C₈	central extension (φ=1)	160		(C2xC4).7Dic5	160,9
(C₂×C₄).₈Dic₅ = C₂×C₅⋊₂C₁₆	central extension (φ=1)	160		(C2xC4).8Dic5	160,18
(C₂×C₄).₉Dic₅ = C₂²×C₅⋊₂C₈	central extension (φ=1)	160		(C2xC4).9Dic5	160,141

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