Extensions 1→N→G→Q→1 with N=C₂×S₃² and Q=S₃

Direct product G=N×Q with N=C₂×S₃² and Q=S₃

		d	ρ	Label	ID
C₂×S₃³		24	8+	C2xS3^3	432,759

Semidirect products G=N:Q with N=C₂×S₃² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²)⋊₁S₃ = S₃×D₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×S₃²	48	8-	(C2xS3^2):1S3	432,597
(C₂×S₃²)⋊₂S₃ = S₃×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×S₃²	24	8+	(C2xS3^2):2S3	432,598
(C₂×S₃²)⋊₃S₃ = D₆⋊₄S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₂×S₃²	24	8+	(C2xS3^2):3S3	432,599
(C₂×S₃²)⋊₄S₃ = D₆⋊S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₂×S₃²	48	8-	(C2xS3^2):4S3	432,600
(C₂×S₃²)⋊₅S₃ = C₂×C₃³⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2):5S3	432,755

Non-split extensions G=N.Q with N=C₂×S₃² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²).S₃ = S₃²⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).S3	432,580
(C₂×S₃²).₂S₃ = S₃²×Dic₃	φ: trivial image	48	8-	(C2xS3^2).2S3	432,594

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