Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=C₂

Direct product G=NxQ with N=C₄xS₃ and Q=C₂

		d	ρ	Label	ID
S₃xC₂xC₄		24		S3xC2xC4	48,35

Semidirect products G=N:Q with N=C₄xS₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃):₁C₂ = S₃xD₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃	12	4+	(C4xS3):1C2	48,38
(C₄xS₃):₂C₂ = D₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃	24	4-	(C4xS3):2C2	48,39
(C₄xS₃):₃C₂ = Q₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃	24	4+	(C4xS3):3C2	48,41
(C₄xS₃):₄C₂ = C₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃	24	2	(C4xS3):4C2	48,37

Non-split extensions G=N.Q with N=C₄xS₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃).₁C₂ = S₃xQ₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃	24	4-	(C4xS3).1C2	48,40
(C₄xS₃).₂C₂ = C₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃	24	2	(C4xS3).2C2	48,5
(C₄xS₃).₃C₂ = S₃xC₈	φ: trivial image	24	2	(C4xS3).3C2	48,4

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