Extensions 1→N→G→Q→1 with N=C₂xA₄ and Q=C₂xC₁₀

Direct product G=NxQ with N=C₂xA₄ and Q=C₂xC₁₀

		d	ρ	Label	ID
A₄xC₂²xC₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=C₂xA₄ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄):(C₂xC₁₀) = C₂xC₁₀xS₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60		(C2xA4):(C2xC10)	480,1198

Non-split extensions G=N.Q with N=C₂xA₄ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄).₁(C₂xC₁₀) = C₅xA₄:Q₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	120	6	(C2xA4).1(C2xC10)	480,1013
(C₂xA₄).₂(C₂xC₁₀) = C₂₀xS₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60	3	(C2xA4).2(C2xC10)	480,1014
(C₂xA₄).₃(C₂xC₁₀) = C₅xC₄:S₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).3(C2xC10)	480,1015
(C₂xA₄).₄(C₂xC₁₀) = C₁₀xA₄:C₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	120		(C2xA4).4(C2xC10)	480,1022
(C₂xA₄).₅(C₂xC₁₀) = C₅xA₄:D₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).5(C2xC10)	480,1023
(C₂xA₄).₆(C₂xC₁₀) = A₄xC₂xC₂₀	φ: trivial image	120		(C2xA4).6(C2xC10)	480,1126
(C₂xA₄).₇(C₂xC₁₀) = C₅xD₄xA₄	φ: trivial image	60	6	(C2xA4).7(C2xC10)	480,1127
(C₂xA₄).₈(C₂xC₁₀) = C₅xQ₈xA₄	φ: trivial image	120	6	(C2xA4).8(C2xC10)	480,1129

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