Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₂

Direct product G=N×Q with N=C₄×S₃ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₄		24		S3xC2xC4	48,35

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₂ = S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃	12	4+	(C4xS3):1C2	48,38
(C₄×S₃)⋊₂C₂ = D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃	24	4-	(C4xS3):2C2	48,39
(C₄×S₃)⋊₃C₂ = Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃	24	4+	(C4xS3):3C2	48,41
(C₄×S₃)⋊₄C₂ = C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃	24	2	(C4xS3):4C2	48,37

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₂ = S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃	24	4-	(C4xS3).1C2	48,40
(C₄×S₃).₂C₂ = C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃	24	2	(C4xS3).2C2	48,5
(C₄×S₃).₃C₂ = S₃×C₈	φ: trivial image	24	2	(C4xS3).3C2	48,4

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