Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=Dic₃

Direct product G=N×Q with N=C₄×S₃ and Q=Dic₃

		d	ρ	Label	ID
C₄×S₃×Dic₃		96		C4xS3xDic3	288,523

Semidirect products G=N:Q with N=C₄×S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁Dic₃ = C₆².₁₁C₂³	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):1Dic3	288,489
(C₄×S₃)⋊₂Dic₃ = S₃×C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):2Dic3	288,537
(C₄×S₃)⋊₃Dic₃ = C₆².₂₅C₂³	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3):3Dic3	288,503

Non-split extensions G=N.Q with N=C₄×S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁Dic₃ = S₃×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3).1Dic3	288,461
(C₄×S₃).₂Dic₃ = C₂₄.₆₁D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×S₃	96	4	(C4xS3).2Dic3	288,191
(C₄×S₃).₃Dic₃ = C₂×D₆.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄×S₃	96		(C4xS3).3Dic3	288,467
(C₄×S₃).₄Dic₃ = S₃×C₃⋊C₁₆	φ: trivial image	96	4	(C4xS3).4Dic3	288,189
(C₄×S₃).₅Dic₃ = C₂×S₃×C₃⋊C₈	φ: trivial image	96		(C4xS3).5Dic3	288,460

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