Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=C₂×C₁₀

Direct product G=N×Q with N=C₂×A₄ and Q=C₂×C₁₀

		d	ρ	Label	ID
A₄×C₂²×C₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=C₂×A₄ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊(C₂×C₁₀) = C₂×C₁₀×S₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60		(C2xA4):(C2xC10)	480,1198

Non-split extensions G=N.Q with N=C₂×A₄ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).₁(C₂×C₁₀) = C₅×A₄⋊Q₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	120	6	(C2xA4).1(C2xC10)	480,1013
(C₂×A₄).₂(C₂×C₁₀) = C₂₀×S₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60	3	(C2xA4).2(C2xC10)	480,1014
(C₂×A₄).₃(C₂×C₁₀) = C₅×C₄⋊S₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).3(C2xC10)	480,1015
(C₂×A₄).₄(C₂×C₁₀) = C₁₀×A₄⋊C₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	120		(C2xA4).4(C2xC10)	480,1022
(C₂×A₄).₅(C₂×C₁₀) = C₅×A₄⋊D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).5(C2xC10)	480,1023
(C₂×A₄).₆(C₂×C₁₀) = A₄×C₂×C₂₀	φ: trivial image	120		(C2xA4).6(C2xC10)	480,1126
(C₂×A₄).₇(C₂×C₁₀) = C₅×D₄×A₄	φ: trivial image	60	6	(C2xA4).7(C2xC10)	480,1127
(C₂×A₄).₈(C₂×C₁₀) = C₅×Q₈×A₄	φ: trivial image	120	6	(C2xA4).8(C2xC10)	480,1129

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