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

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

		d	ρ	Label	ID
C₄×S₃²		24	4	C4xS3^2	144,143

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁S₃ = D₁₂⋊₅S₃	φ: S₃/C₃ → C₂ ⊆ Out C₄×S₃	48	4-	(C4xS3):1S3	144,138
(C₄×S₃)⋊₂S₃ = D₆.₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×S₃	24	4+	(C4xS3):2S3	144,142
(C₄×S₃)⋊₃S₃ = S₃×D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×S₃	24	4+	(C4xS3):3S3	144,144
(C₄×S₃)⋊₄S₃ = D₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×S₃	24	4	(C4xS3):4S3	144,141

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁S₃ = S₃×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×S₃	48	4-	(C4xS3).1S3	144,137
(C₄×S₃).₂S₃ = D₆.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3).2S3	144,54
(C₄×S₃).₃S₃ = S₃×C₃⋊C₈	φ: trivial image	48	4	(C4xS3).3S3	144,52

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