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

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

		d	ρ	Label	ID
S₃×C₂×C₁₂		48		S3xC2xC12	144,159

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₆ = C₃×S₃×D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×S₃	24	4	(C4xS3):1C6	144,162
(C₄×S₃)⋊₂C₆ = C₃×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×S₃	24	4	(C4xS3):2C6	144,163
(C₄×S₃)⋊₃C₆ = C₃×Q₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3):3C6	144,165
(C₄×S₃)⋊₄C₆ = C₃×C₄○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₄×S₃	24	2	(C4xS3):4C6	144,161

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₆ = C₃×S₃×Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3).1C6	144,164
(C₄×S₃).₂C₆ = C₃×C₈⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×S₃	48	2	(C4xS3).2C6	144,70
(C₄×S₃).₃C₆ = S₃×C₂₄	φ: trivial image	48	2	(C4xS3).3C6	144,69

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