Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=S₃

Direct product G=N×Q with N=C₂²×S₃ and Q=S₃

		d	ρ	Label	ID
C₂²×S₃²		24		C2^2xS3^2	144,192

Semidirect products G=N:Q with N=C₂²×S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊S₃ = S₃×S₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²×S₃	12	6+	(C2^2xS3):S3	144,183
(C₂²×S₃)⋊₂S₃ = C₂×D₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3):2S3	144,150
(C₂²×S₃)⋊₃S₃ = C₂×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²×S₃	24		(C2^2xS3):3S3	144,151
(C₂²×S₃)⋊₄S₃ = S₃×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×S₃	24	4	(C2^2xS3):4S3	144,153

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).S₃ = D₆⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3).S3	144,64
(C₂²×S₃).₂S₃ = C₂×S₃×Dic₃	φ: trivial image	48		(C2^2xS3).2S3	144,146

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