Extensions 1→N→G→Q→1 with N=C₃×C₁₂ and Q=C₁₀

Direct product G=N×Q with N=C₃×C₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₆×C₆₀		360		C6xC60	360,115

Semidirect products G=N:Q with N=C₃×C₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂)⋊₁C₁₀ = C₅×C₁₂⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	180		(C3xC12):1C10	360,107
(C₃×C₁₂)⋊₂C₁₀ = C₁₅×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12):2C10	360,97
(C₃×C₁₂)⋊₃C₁₀ = S₃×C₆₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12):3C10	360,96
(C₃×C₁₂)⋊₄C₁₀ = C₃⋊S₃×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	180		(C3xC12):4C10	360,106
(C₃×C₁₂)⋊₅C₁₀ = D₄×C₃×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	180		(C3xC12):5C10	360,116

Non-split extensions G=N.Q with N=C₃×C₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂).₁C₁₀ = C₅×C₃²⋊₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	360		(C3xC12).1C10	360,105
(C₃×C₁₂).₂C₁₀ = C₁₅×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12).2C10	360,95
(C₃×C₁₂).₃C₁₀ = C₁₅×C₃⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12).3C10	360,34
(C₃×C₁₂).₄C₁₀ = C₅×C₃²⋊₄C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	360		(C3xC12).4C10	360,36
(C₃×C₁₂).₅C₁₀ = Q₈×C₃×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₁₂	360		(C3xC12).5C10	360,117

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