Extensions 1→N→G→Q→1 with N=C₃xC₁₂ and Q=C₁₀

Direct product G=NxQ with N=C₃xC₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₆xC₆₀		360		C6xC60	360,115

Semidirect products G=N:Q with N=C₃xC₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂):₁C₁₀ = C₅xC₁₂:S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	180		(C3xC12):1C10	360,107
(C₃xC₁₂):₂C₁₀ = C₁₅xD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12):2C10	360,97
(C₃xC₁₂):₃C₁₀ = S₃xC₆₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12):3C10	360,96
(C₃xC₁₂):₄C₁₀ = C₃:S₃xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	180		(C3xC12):4C10	360,106
(C₃xC₁₂):₅C₁₀ = D₄xC₃xC₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	180		(C3xC12):5C10	360,116

Non-split extensions G=N.Q with N=C₃xC₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂).₁C₁₀ = C₅xC₃²:₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	360		(C3xC12).1C10	360,105
(C₃xC₁₂).₂C₁₀ = C₁₅xDic₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12).2C10	360,95
(C₃xC₁₂).₃C₁₀ = C₁₅xC₃:C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12).3C10	360,34
(C₃xC₁₂).₄C₁₀ = C₅xC₃²:₄C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	360		(C3xC12).4C10	360,36
(C₃xC₁₂).₅C₁₀ = Q₈xC₃xC₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃xC₁₂	360		(C3xC12).5C10	360,117

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