Extensions 1→N→G→Q→1 with N=S₃xC₂xC₄ and Q=S₃

Direct product G=NxQ with N=S₃xC₂xC₄ and Q=S₃

		d	ρ	Label	ID
S₃²xC₂xC₄		48		S3^2xC2xC4	288,950

Semidirect products G=N:Q with N=S₃xC₂xC₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄):₁S₃ = D₆:₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):1S3	288,556
(S₃xC₂xC₄):₂S₃ = C₁₂:₇D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):2S3	288,557
(S₃xC₂xC₄):₃S₃ = C₂xD₁₂:₅S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):3S3	288,943
(S₃xC₂xC₄):₄S₃ = C₂xD₆.₆D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):4S3	288,949
(S₃xC₂xC₄):₅S₃ = C₂xS₃xD₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):5S3	288,951
(S₃xC₂xC₄):₆S₃ = S₃xC₄oD₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48	4	(S3xC2xC4):6S3	288,953
(S₃xC₂xC₄):₇S₃ = C₆².₂₀C₂³	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):7S3	288,498
(S₃xC₂xC₄):₈S₃ = C₆².₄₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):8S3	288,527
(S₃xC₂xC₄):₉S₃ = C₄xD₆:S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):9S3	288,549
(S₃xC₂xC₄):₁₀S₃ = C₄xC₃:D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):10S3	288,551
(S₃xC₂xC₄):₁₁S₃ = C₆².₇₄C₂³	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):11S3	288,552
(S₃xC₂xC₄):₁₂S₃ = C₆².₇₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):12S3	288,553
(S₃xC₂xC₄):₁₃S₃ = D₆:D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):13S3	288,554
(S₃xC₂xC₄):₁₄S₃ = S₃xD₆:C₄	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):14S3	288,568
(S₃xC₂xC₄):₁₅S₃ = C₂xD₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):15S3	288,948

Non-split extensions G=N.Q with N=S₃xC₂xC₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄).₁S₃ = S₃xC₄.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48	4	(S3xC2xC4).1S3	288,461
(S₃xC₂xC₄).₂S₃ = C₆².₁₁C₂³	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).2S3	288,489
(S₃xC₂xC₄).₃S₃ = D₆:₆Dic₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).3S3	288,504
(S₃xC₂xC₄).₄S₃ = D₆:₇Dic₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).4S3	288,505
(S₃xC₂xC₄).₅S₃ = S₃xC₄:Dic₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).5S3	288,537
(S₃xC₂xC₄).₆S₃ = C₂xS₃xDic₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).6S3	288,942
(S₃xC₂xC₄).₇S₃ = C₁₂.₇₇D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).7S3	288,204
(S₃xC₂xC₄).₈S₃ = C₂xD₆.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).8S3	288,467
(S₃xC₂xC₄).₉S₃ = D₆:Dic₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).9S3	288,499
(S₃xC₂xC₄).₁₀S₃ = C₆².₂₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).10S3	288,503
(S₃xC₂xC₄).₁₁S₃ = S₃xDic₃:C₄	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).11S3	288,524
(S₃xC₂xC₄).₁₂S₃ = C₂xS₃xC₃:C₈	φ: trivial image	96		(S3xC2xC4).12S3	288,460
(S₃xC₂xC₄).₁₃S₃ = C₄xS₃xDic₃	φ: trivial image	96		(S3xC2xC4).13S3	288,523

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