Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₁₂

Direct product G=N×Q with N=C₂²×S₃ and Q=C₁₂

		d	ρ	Label	ID
S₃×C₂²×C₁₂		96		S3xC2^2xC12	288,989

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊C₁₂ = C₃×C₂³.₆D₆	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²×S₃	24	4	(C2^2xS3):C12	288,240
(C₂²×S₃)⋊₂C₁₂ = C₄×S₃×A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₂²×S₃	36	6	(C2^2xS3):2C12	288,919
(C₂²×S₃)⋊₃C₁₂ = C₃×S₃×C₂²⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3):3C12	288,651
(C₂²×S₃)⋊₄C₁₂ = C₆×D₆⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3):4C12	288,698

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₁₂ = C₃×C₁₂.₄₆D₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²×S₃	48	4	(C2^2xS3).C12	288,257
(C₂²×S₃).₂C₁₂ = C₃×D₆⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).2C12	288,254
(C₂²×S₃).₃C₁₂ = C₆×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).3C12	288,671
(C₂²×S₃).₄C₁₂ = C₃×S₃×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²×S₃	48	4	(C2^2xS3).4C12	288,677
(C₂²×S₃).₅C₁₂ = S₃×C₂×C₂₄	φ: trivial image	96		(C2^2xS3).5C12	288,670

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