Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=Dic₅

Direct product G=NxQ with N=C₂xC₄ and Q=Dic₅

		d	ρ	Label	ID
C₂xC₄xDic₅		160		C2xC4xDic5	160,143

Semidirect products G=N:Q with N=C₂xC₄ and Q=Dic₅

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

Non-split extensions G=N.Q with N=C₂xC₄ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).Dic₅ = C₂₀.₁₀D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂xC₄	80	4	(C2xC4).Dic5	160,43
(C₂xC₄).₂Dic₅ = C₄².D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).2Dic5	160,10
(C₂xC₄).₃Dic₅ = C₂₀:₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).3Dic5	160,11
(C₂xC₄).₄Dic₅ = C₂₀.₅₅D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).4Dic5	160,37
(C₂xC₄).₅Dic₅ = C₂₀.₄C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₄	80	2	(C2xC4).5Dic5	160,19
(C₂xC₄).₆Dic₅ = C₂xC₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).6Dic5	160,142
(C₂xC₄).₇Dic₅ = C₄xC₅:₂C₈	central extension (φ=1)	160		(C2xC4).7Dic5	160,9
(C₂xC₄).₈Dic₅ = C₂xC₅:₂C₁₆	central extension (φ=1)	160		(C2xC4).8Dic5	160,18
(C₂xC₄).₉Dic₅ = C₂²xC₅:₂C₈	central extension (φ=1)	160		(C2xC4).9Dic5	160,141

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