Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=D₁₀

Direct product G=N×Q with N=C₂×A₄ and Q=D₁₀

		d	ρ	Label	ID
C₂²×D₅×A₄		60		C2^2xD5xA4	480,1202

Semidirect products G=N:Q with N=C₂×A₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊₁D₁₀ = C₂×D₅×S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	30	6+	(C2xA4):1D10	480,1193
(C₂×A₄)⋊₂D₁₀ = C₂²×C₅⋊S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60		(C2xA4):2D10	480,1199

Non-split extensions G=N.Q with N=C₂×A₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).₁D₁₀ = A₄⋊Dic₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	120	6-	(C2xA4).1D10	480,975
(C₂×A₄).₂D₁₀ = Dic₅×S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	60	6-	(C2xA4).2D10	480,976
(C₂×A₄).₃D₁₀ = Dic₅⋊₂S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).3D10	480,977
(C₂×A₄).₄D₁₀ = Dic₅⋊S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).4D10	480,978
(C₂×A₄).₅D₁₀ = D₅×A₄⋊C₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).5D10	480,979
(C₂×A₄).₆D₁₀ = D₁₀⋊S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).6D10	480,980
(C₂×A₄).₇D₁₀ = A₄⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂×A₄	60	6+	(C2xA4).7D10	480,981
(C₂×A₄).₈D₁₀ = C₂₀.₁S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	120	6-	(C2xA4).8D10	480,1024
(C₂×A₄).₉D₁₀ = C₄×C₅⋊S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).9D10	480,1025
(C₂×A₄).₁₀D₁₀ = C₂₀⋊S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60	6+	(C2xA4).10D10	480,1026
(C₂×A₄).₁₁D₁₀ = C₂×A₄⋊Dic₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	120		(C2xA4).11D10	480,1033
(C₂×A₄).₁₂D₁₀ = C₂⁴⋊₂D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂×A₄	60	6	(C2xA4).12D10	480,1034
(C₂×A₄).₁₃D₁₀ = A₄×Dic₁₀	φ: trivial image	120	6-	(C2xA4).13D10	480,1035
(C₂×A₄).₁₄D₁₀ = C₄×D₅×A₄	φ: trivial image	60	6	(C2xA4).14D10	480,1036
(C₂×A₄).₁₅D₁₀ = A₄×D₂₀	φ: trivial image	60	6+	(C2xA4).15D10	480,1037
(C₂×A₄).₁₆D₁₀ = C₂×A₄×Dic₅	φ: trivial image	120		(C2xA4).16D10	480,1044
(C₂×A₄).₁₇D₁₀ = A₄×C₅⋊D₄	φ: trivial image	60	6	(C2xA4).17D10	480,1045

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