Extensions 1→N→G→Q→1 with N=S₃×C₂³ and Q=S₃

Direct product G=N×Q with N=S₃×C₂³ and Q=S₃

		d	ρ	Label	ID
S₃²×C₂³		48		S3^2xC2^3	288,1040

Semidirect products G=N:Q with N=S₃×C₂³ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³)⋊₁S₃ = D₆⋊S₄	φ: S₃/C₁ → S₃ ⊆ Out S₃×C₂³	36	6	(S3xC2^3):1S3	288,857
(S₃×C₂³)⋊₂S₃ = A₄⋊D₁₂	φ: S₃/C₁ → S₃ ⊆ Out S₃×C₂³	36	6+	(S3xC2^3):2S3	288,858
(S₃×C₂³)⋊₃S₃ = C₂×S₃×S₄	φ: S₃/C₁ → S₃ ⊆ Out S₃×C₂³	18	6+	(S3xC2^3):3S3	288,1028
(S₃×C₂³)⋊₄S₃ = C₆²⋊₄D₄	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):4S3	288,624
(S₃×C₂³)⋊₅S₃ = C₆²⋊₅D₄	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):5S3	288,625
(S₃×C₂³)⋊₆S₃ = C₂²×D₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₂³	96		(S3xC2^3):6S3	288,973
(S₃×C₂³)⋊₇S₃ = C₂²×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):7S3	288,974
(S₃×C₂³)⋊₈S₃ = C₂×S₃×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):8S3	288,976

Non-split extensions G=N.Q with N=S₃×C₂³ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³).S₃ = S₃×A₄⋊C₄	φ: S₃/C₁ → S₃ ⊆ Out S₃×C₂³	36	6	(S3xC2^3).S3	288,856
(S₃×C₂³).₂S₃ = C₂×D₆⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₂³	96		(S3xC2^3).2S3	288,608
(S₃×C₂³).₃S₃ = S₃×C₆.D₄	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3).3S3	288,616
(S₃×C₂³).₄S₃ = C₂²×S₃×Dic₃	φ: trivial image	96		(S3xC2^3).4S3	288,969

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