Extensions 1→N→G→Q→1 with N=C₄xC₁₂ and Q=C₁₀

Direct product G=NxQ with N=C₄xC₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₂xC₄xC₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₄xC₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₁₂):₁C₁₀ = C₅xC₄²:₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):1C10	480,755
(C₄xC₁₂):₂C₁₀ = C₁₅xC₄²:C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):2C10	480,922
(C₄xC₁₂):₃C₁₀ = C₁₅xC₄²:₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):3C10	480,931
(C₄xC₁₂):₄C₁₀ = C₅xC₄:D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):4C10	480,753
(C₄xC₁₂):₅C₁₀ = C₅xC₄²:₇S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):5C10	480,754
(C₄xC₁₂):₆C₁₀ = C₅xC₄²:₄S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	120	2	(C4xC12):6C10	480,124
(C₄xC₁₂):₇C₁₀ = C₂₀xD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):7C10	480,752
(C₄xC₁₂):₈C₁₀ = S₃xC₄xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):8C10	480,750
(C₄xC₁₂):₉C₁₀ = C₅xC₄²:₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):9C10	480,751
(C₄xC₁₂):₁₀C₁₀ = C₁₅xC₄wrC₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	120	2	(C4xC12):10C10	480,207
(C₄xC₁₂):₁₁C₁₀ = D₄xC₆₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):11C10	480,923
(C₄xC₁₂):₁₂C₁₀ = C₁₅xC₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):12C10	480,929
(C₄xC₁₂):₁₃C₁₀ = C₁₅xC₄:₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	240		(C4xC12):13C10	480,932

Non-split extensions G=N.Q with N=C₄xC₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₁₂).₁C₁₀ = C₁₅xC₈:C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).1C10	480,200
(C₄xC₁₂).₂C₁₀ = C₅xC₁₂:₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).2C10	480,748
(C₄xC₁₂).₃C₁₀ = C₅xC₁₂.₆Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).3C10	480,749
(C₄xC₁₂).₄C₁₀ = C₅xC₁₂:C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).4C10	480,123
(C₄xC₁₂).₅C₁₀ = C₂₀xDic₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).5C10	480,747
(C₄xC₁₂).₆C₁₀ = C₂₀xC₃:C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).6C10	480,121
(C₄xC₁₂).₇C₁₀ = C₅xC₄².S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).7C10	480,122
(C₄xC₁₂).₈C₁₀ = C₁₅xC₄:C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).8C10	480,208
(C₄xC₁₂).₉C₁₀ = Q₈xC₆₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).9C10	480,924
(C₄xC₁₂).₁₀C₁₀ = C₁₅xC₄².C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).10C10	480,930
(C₄xC₁₂).₁₁C₁₀ = C₁₅xC₄:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄xC₁₂	480		(C4xC12).11C10	480,933

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