Extensions 1→N→G→Q→1 with N=C₃×A₄ and Q=C₂×C₆

Direct product G=N×Q with N=C₃×A₄ and Q=C₂×C₆

		d	ρ	Label	ID
A₄×C₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₃×A₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊(C₂×C₆) = C₂×C₆²⋊S₃	φ: C₂×C₆/C₂ → C₆ ⊆ Out C₃×A₄	18	6+	(C3xA4):(C2xC6)	432,535
(C₃×A₄)⋊₂(C₂×C₆) = C₃×S₃×S₄	φ: C₂×C₆/C₃ → C₂² ⊆ Out C₃×A₄	24	6	(C3xA4):2(C2xC6)	432,745
(C₃×A₄)⋊₃(C₂×C₆) = C₂²×C₃²⋊A₄	φ: C₂×C₆/C₂² → C₃ ⊆ Out C₃×A₄	36		(C3xA4):3(C2xC6)	432,550
(C₃×A₄)⋊₄(C₂×C₆) = C₃×C₆×S₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×A₄	54		(C3xA4):4(C2xC6)	432,760
(C₃×A₄)⋊₅(C₂×C₆) = C₆×C₃⋊S₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×A₄	36	6	(C3xA4):5(C2xC6)	432,761
(C₃×A₄)⋊₆(C₂×C₆) = S₃×C₆×A₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×A₄	36	6	(C3xA4):6(C2xC6)	432,763

Non-split extensions G=N.Q with N=C₃×A₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄).(C₂×C₆) = C₂²×C₉⋊A₄	φ: C₂×C₆/C₂² → C₃ ⊆ Out C₃×A₄	108		(C3xA4).(C2xC6)	432,547
(C₃×A₄).₂(C₂×C₆) = C₁₈×S₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×A₄	54	3	(C3xA4).2(C2xC6)	432,532
(C₃×A₄).₃(C₂×C₆) = A₄×C₂×C₁₈	φ: trivial image	108		(C3xA4).3(C2xC6)	432,546

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