Extensions 1→N→G→Q→1 with N=A₄xC₂₀ and Q=C₂

Direct product G=NxQ with N=A₄xC₂₀ and Q=C₂

		d	ρ	Label	ID
A₄xC₂xC₂₀		120		A4xC2xC20	480,1126

Semidirect products G=N:Q with N=A₄xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄xC₂₀):₁C₂ = C₂₀:S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	60	6+	(A4xC20):1C2	480,1026
(A₄xC₂₀):₂C₂ = C₄xC₅:S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	60	6	(A4xC20):2C2	480,1025
(A₄xC₂₀):₃C₂ = A₄xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	60	6+	(A4xC20):3C2	480,1037
(A₄xC₂₀):₄C₂ = C₅xC₄:S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	60	6	(A4xC20):4C2	480,1015
(A₄xC₂₀):₅C₂ = C₄xD₅xA₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	60	6	(A4xC20):5C2	480,1036
(A₄xC₂₀):₆C₂ = C₂₀xS₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	60	3	(A4xC20):6C2	480,1014
(A₄xC₂₀):₇C₂ = C₅xD₄xA₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	60	6	(A4xC20):7C2	480,1127

Non-split extensions G=N.Q with N=A₄xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄xC₂₀).₁C₂ = C₂₀.₁S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	120	6-	(A4xC20).1C2	480,1024
(A₄xC₂₀).₂C₂ = C₂₀.S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	120	6	(A4xC20).2C2	480,259
(A₄xC₂₀).₃C₂ = A₄xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	120	6-	(A4xC20).3C2	480,1035
(A₄xC₂₀).₄C₂ = C₅xA₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	120	6	(A4xC20).4C2	480,1013
(A₄xC₂₀).₅C₂ = A₄xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	120	6	(A4xC20).5C2	480,265
(A₄xC₂₀).₆C₂ = C₅xA₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	120	3	(A4xC20).6C2	480,255
(A₄xC₂₀).₇C₂ = C₅xQ₈xA₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₂₀	120	6	(A4xC20).7C2	480,1129
(A₄xC₂₀).₈C₂ = A₄xC₄₀	φ: trivial image	120	3	(A4xC20).8C2	480,659

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