Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₁₂

Direct product G=N×Q with N=C₄×S₃ and Q=C₁₂

		d	ρ	Label	ID
S₃×C₄×C₁₂		96		S3xC4xC12	288,642

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₁₂ = C₃×S₃×C₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):1C12	288,662
(C₄×S₃)⋊₂C₁₂ = C₃×C₄⋊C₄⋊₇S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):2C12	288,663
(C₄×S₃)⋊₃C₁₂ = C₃×C₄²⋊₂S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):3C12	288,643

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₁₂ = C₃×S₃×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3).1C12	288,677
(C₄×S₃).₂C₁₂ = C₃×D₆.C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×S₃	96	2	(C4xS3).2C12	288,232
(C₄×S₃).₃C₁₂ = C₆×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).3C12	288,671
(C₄×S₃).₄C₁₂ = S₃×C₄₈	φ: trivial image	96	2	(C4xS3).4C12	288,231
(C₄×S₃).₅C₁₂ = S₃×C₂×C₂₄	φ: trivial image	96		(C4xS3).5C12	288,670

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