Extensions 1→N→G→Q→1 with N=S₃×C₂³ and Q=C₆

Direct product G=N×Q with N=S₃×C₂³ and Q=C₆

		d	ρ	Label	ID
S₃×C₂³×C₆		96		S3xC2^3xC6	288,1043

Semidirect products G=N:Q with N=S₃×C₂³ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³)⋊₁C₆ = A₄×D₁₂	φ: C₆/C₁ → C₆ ⊆ Out S₃×C₂³	36	6+	(S3xC2^3):1C6	288,920
(S₃×C₂³)⋊₂C₆ = A₄×C₃⋊D₄	φ: C₆/C₁ → C₆ ⊆ Out S₃×C₂³	36	6	(S3xC2^3):2C6	288,928
(S₃×C₂³)⋊₃C₆ = C₂²×S₃×A₄	φ: C₆/C₂ → C₃ ⊆ Out S₃×C₂³	36		(S3xC2^3):3C6	288,1037
(S₃×C₂³)⋊₄C₆ = C₃×D₆⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):4C6	288,653
(S₃×C₂³)⋊₅C₆ = C₃×C₂³⋊₂D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):5C6	288,708
(S₃×C₂³)⋊₆C₆ = C₂×C₆×D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₂³	96		(S3xC2^3):6C6	288,990
(S₃×C₂³)⋊₇C₆ = S₃×C₆×D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):7C6	288,992
(S₃×C₂³)⋊₈C₆ = C₂×C₆×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):8C6	288,1002

Non-split extensions G=N.Q with N=S₃×C₂³ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³).C₆ = C₄×S₃×A₄	φ: C₆/C₂ → C₃ ⊆ Out S₃×C₂³	36	6	(S3xC2^3).C6	288,919
(S₃×C₂³).₂C₆ = C₃×S₃×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3).2C6	288,651
(S₃×C₂³).₃C₆ = C₆×D₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₂³	96		(S3xC2^3).3C6	288,698
(S₃×C₂³).₄C₆ = S₃×C₂²×C₁₂	φ: trivial image	96		(S3xC2^3).4C6	288,989

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