Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=D₅

Direct product G=NxQ with N=C₂xC₄ and Q=D₅

		d	ρ	Label	ID
C₂xC₄xD₅		40		C2xC4xD5	80,36

Semidirect products G=N:Q with N=C₂xC₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁D₅ = D₁₀:C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄	40		(C2xC4):1D5	80,14
(C₂xC₄):₂D₅ = C₂xD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄	40		(C2xC4):2D5	80,37
(C₂xC₄):₃D₅ = C₄oD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄	40	2	(C2xC4):3D5	80,38

Non-split extensions G=N.Q with N=C₂xC₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁D₅ = C₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).1D5	80,12
(C₂xC₄).₂D₅ = C₄.Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄	40	2	(C2xC4).2D5	80,10
(C₂xC₄).₃D₅ = C₄:Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).3D5	80,13
(C₂xC₄).₄D₅ = C₂xDic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).4D5	80,35
(C₂xC₄).₅D₅ = C₂xC₅:₂C₈	central extension (φ=1)	80		(C2xC4).5D5	80,9
(C₂xC₄).₆D₅ = C₄xDic₅	central extension (φ=1)	80		(C2xC4).6D5	80,11

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