Extensions 1→N→G→Q→1 with N=C₂×C₆×C₁₂ and Q=C₃

Direct product G=N×Q with N=C₂×C₆×C₁₂ and Q=C₃

		d	ρ	Label	ID
C₆²×C₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₂×C₆×C₁₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆×C₁₂)⋊₁C₃ = C₄×C₃²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₆×C₁₂	36	3	(C2xC6xC12):1C3	432,333
(C₂×C₆×C₁₂)⋊₂C₃ = C₂²×C₄×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₆×C₁₂	144		(C2xC6xC12):2C3	432,401
(C₂×C₆×C₁₂)⋊₃C₃ = A₄×C₃×C₁₂	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₆×C₁₂	108		(C2xC6xC12):3C3	432,697

Non-split extensions G=N.Q with N=C₂×C₆×C₁₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆×C₁₂).₁C₃ = C₁₂×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₆×C₁₂	108		(C2xC6xC12).1C3	432,331
(C₂×C₆×C₁₂).₂C₃ = C₄×C₃².A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₆×C₁₂	36	3	(C2xC6xC12).2C3	432,332
(C₂×C₆×C₁₂).₃C₃ = C₂²×C₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₆×C₁₂	144		(C2xC6xC12).3C3	432,402

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Extensions 1→N→G→Q→1 with N=C2×C6×C12 and Q=C3