Extensions 1→N→G→Q→1 with N=C₂xDic₆ and Q=S₃

Direct product G=NxQ with N=C₂xDic₆ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xDic₆		96		C2xS3xDic6	288,942

Semidirect products G=N:Q with N=C₂xDic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₆):₁S₃ = C₂xC₃²:₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48		(C2xDic6):1S3	288,480
(C₂xDic₆):₂S₃ = D₆:₆Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6):2S3	288,504
(C₂xDic₆):₃S₃ = C₁₂.₂₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48		(C2xDic6):3S3	288,512
(C₂xDic₆):₄S₃ = D₆:₁Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6):4S3	288,535
(C₂xDic₆):₅S₃ = C₆².₅₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48		(C2xDic6):5S3	288,536
(C₂xDic₆):₆S₃ = C₆².₇₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48		(C2xDic6):6S3	288,555
(C₂xDic₆):₇S₃ = C₂xDic₆:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6):7S3	288,474
(C₂xDic₆):₈S₃ = D₁₂.₃₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48	4	(C2xDic6):8S3	288,475
(C₂xDic₆):₉S₃ = Dic₆.₂₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48	4	(C2xDic6):9S3	288,481
(C₂xDic₆):₁₀S₃ = C₆².₃₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6):10S3	288,511
(C₂xDic₆):₁₁S₃ = C₁₂.₃₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48		(C2xDic6):11S3	288,519
(C₂xDic₆):₁₂S₃ = C₂xD₁₂:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48		(C2xDic6):12S3	288,944
(C₂xDic₆):₁₃S₃ = D₁₂.₃₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48	4	(C2xDic6):13S3	288,945
(C₂xDic₆):₁₄S₃ = C₂xDic₃.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48		(C2xDic6):14S3	288,947
(C₂xDic₆):₁₅S₃ = C₂xD₆.₆D₆	φ: trivial image	48		(C2xDic6):15S3	288,949

Non-split extensions G=N.Q with N=C₂xDic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₆).₁S₃ = C₆.Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).1S3	288,214
(C₂xDic₆).₂S₃ = C₂xC₃²:₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).2S3	288,483
(C₂xDic₆).₃S₃ = C₆².₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).3S3	288,487
(C₂xDic₆).₄S₃ = Dic₃:Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).4S3	288,514
(C₂xDic₆).₅S₃ = C₁₂.₁₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	48	4	(C2xDic6).5S3	288,208
(C₂xDic₆).₆S₃ = Dic₆:Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).6S3	288,213
(C₂xDic₆).₇S₃ = C₂xC₃²:₂Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).7S3	288,482
(C₂xDic₆).₈S₃ = C₆².₁₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).8S3	288,491
(C₂xDic₆).₉S₃ = C₆².₄₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₆	96		(C2xDic6).9S3	288,521
(C₂xDic₆).₁₀S₃ = Dic₃xDic₆	φ: trivial image	96		(C2xDic6).10S3	288,490

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