Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=Dic₃

Direct product G=N×Q with N=C₂²×S₃ and Q=Dic₃

		d	ρ	Label	ID
C₂²×S₃×Dic₃		96		C2^2xS3xDic3	288,969

Semidirect products G=N:Q with N=C₂²×S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊Dic₃ = S₃×A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₂²×S₃	36	6	(C2^2xS3):Dic3	288,856
(C₂²×S₃)⋊₂Dic₃ = C₆².₃₁D₄	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²×S₃	24	4	(C2^2xS3):2Dic3	288,228
(C₂²×S₃)⋊₃Dic₃ = C₂×D₆⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3):3Dic3	288,608
(C₂²×S₃)⋊₄Dic₃ = S₃×C₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3):4Dic3	288,616

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).Dic₃ = C₁₂.D₁₂	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²×S₃	48	4	(C2^2xS3).Dic3	288,206
(C₂²×S₃).₂Dic₃ = C₁₂.₇₇D₁₂	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).2Dic3	288,204
(C₂²×S₃).₃Dic₃ = S₃×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×S₃	48	4	(C2^2xS3).3Dic3	288,461
(C₂²×S₃).₄Dic₃ = C₂×D₆.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×S₃	96		(C2^2xS3).4Dic3	288,467
(C₂²×S₃).₅Dic₃ = C₂×S₃×C₃⋊C₈	φ: trivial image	96		(C2^2xS3).5Dic3	288,460

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