Extensions 1→N→G→Q→1 with N=C₂²xC₁₂ and Q=C₁₀

Direct product G=NxQ with N=C₂²xC₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₂³xC₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₂²xC₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₂):₁C₁₀ = C₁₀xD₆:C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):1C10	480,806
(C₂²xC₁₂):₂C₁₀ = C₅xC₂³.₂₈D₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):2C10	480,808
(C₂²xC₁₂):₃C₁₀ = C₂²:C₄xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):3C10	480,920
(C₂²xC₁₂):₄C₁₀ = D₄xC₆₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):4C10	480,923
(C₂²xC₁₂):₅C₁₀ = C₁₅xC₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):5C10	480,928
(C₂²xC₁₂):₆C₁₀ = C₅xC₁₂:₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):6C10	480,809
(C₂²xC₁₂):₇C₁₀ = C₂xC₁₀xD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):7C10	480,1152
(C₂²xC₁₂):₈C₁₀ = C₁₀xC₄oD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):8C10	480,1153
(C₂²xC₁₂):₉C₁₀ = C₂₀xC₃:D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):9C10	480,807
(C₂²xC₁₂):₁₀C₁₀ = S₃xC₂²xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):10C10	480,1151
(C₂²xC₁₂):₁₁C₁₀ = C₁₅xC₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):11C10	480,926
(C₂²xC₁₂):₁₂C₁₀ = D₄xC₂xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):12C10	480,1181
(C₂²xC₁₂):₁₃C₁₀ = C₄oD₄xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12):13C10	480,1183

Non-split extensions G=N.Q with N=C₂²xC₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₂).₁C₁₀ = C₅xC₆.C₄²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).1C10	480,150
(C₂²xC₁₂).₂C₁₀ = C₁₅xC₂.C₄²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).2C10	480,198
(C₂²xC₁₂).₃C₁₀ = C₁₅xC₂²:C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).3C10	480,201
(C₂²xC₁₂).₄C₁₀ = C₁₀xDic₃:C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).4C10	480,802
(C₂²xC₁₂).₅C₁₀ = C₄:C₄xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).5C10	480,921
(C₂²xC₁₂).₆C₁₀ = C₅xC₁₂.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).6C10	480,803
(C₂²xC₁₂).₇C₁₀ = C₁₀xC₄:Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).7C10	480,804
(C₂²xC₁₂).₈C₁₀ = C₂xC₁₀xDic₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).8C10	480,1150
(C₂²xC₁₂).₉C₁₀ = C₁₀xC₄.Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).9C10	480,800
(C₂²xC₁₂).₁₀C₁₀ = C₅xC₂³.₂₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).10C10	480,805
(C₂²xC₁₂).₁₁C₁₀ = C₅xC₁₂.₅₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).11C10	480,149
(C₂²xC₁₂).₁₂C₁₀ = C₂xC₁₀xC₃:C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).12C10	480,799
(C₂²xC₁₂).₁₃C₁₀ = Dic₃xC₂xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).13C10	480,801
(C₂²xC₁₂).₁₄C₁₀ = C₁₅xC₄²:C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).14C10	480,922
(C₂²xC₁₂).₁₅C₁₀ = C₁₅xC₂²:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).15C10	480,927
(C₂²xC₁₂).₁₆C₁₀ = M₄(2)xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	240		(C2^2xC12).16C10	480,935
(C₂²xC₁₂).₁₇C₁₀ = Q₈xC₂xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₂	480		(C2^2xC12).17C10	480,1182

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