Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₃×C₆

Direct product G=N×Q with N=C₄×S₃ and Q=C₃×C₆

		d	ρ	Label	ID
S₃×C₆×C₁₂		144		S3xC6xC12	432,701

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁(C₃×C₆) = S₃×D₄×C₃²	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄×S₃	72		(C4xS3):1(C3xC6)	432,704
(C₄×S₃)⋊₂(C₃×C₆) = C₃²×D₄⋊₂S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄×S₃	72		(C4xS3):2(C3xC6)	432,705
(C₄×S₃)⋊₃(C₃×C₆) = C₃²×Q₈⋊₃S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄×S₃	144		(C4xS3):3(C3xC6)	432,707
(C₄×S₃)⋊₄(C₃×C₆) = C₃²×C₄○D₁₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄×S₃	72		(C4xS3):4(C3xC6)	432,703

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁(C₃×C₆) = S₃×Q₈×C₃²	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄×S₃	144		(C4xS3).1(C3xC6)	432,706
(C₄×S₃).₂(C₃×C₆) = C₃²×C₈⋊S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₄×S₃	144		(C4xS3).2(C3xC6)	432,465
(C₄×S₃).₃(C₃×C₆) = S₃×C₃×C₂₄	φ: trivial image	144		(C4xS3).3(C3xC6)	432,464

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