Extensions 1→N→G→Q→1 with N=S₃xC₂xC₄ and Q=C₆

Direct product G=NxQ with N=S₃xC₂xC₄ and Q=C₆

		d	ρ	Label	ID
S₃xC₂²xC₁₂		96		S3xC2^2xC12	288,989

Semidirect products G=N:Q with N=S₃xC₂xC₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄):₁C₆ = C₃xC₁₂:D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):1C6	288,666
(S₃xC₂xC₄):₂C₆ = C₃xD₆:₃D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):2C6	288,709
(S₃xC₂xC₄):₃C₆ = S₃xC₆xD₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):3C6	288,992
(S₃xC₂xC₄):₄C₆ = C₆xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):4C6	288,993
(S₃xC₂xC₄):₅C₆ = C₆xQ₈:₃S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):5C6	288,996
(S₃xC₂xC₄):₆C₆ = C₃xS₃xC₄oD₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48	4	(S3xC2xC4):6C6	288,998
(S₃xC₂xC₄):₇C₆ = C₁₂xD₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):7C6	288,644
(S₃xC₂xC₄):₈C₆ = C₃xS₃xC₂²:C₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):8C6	288,651
(S₃xC₂xC₄):₉C₆ = C₃xDic₃:₄D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):9C6	288,652
(S₃xC₂xC₄):₁₀C₆ = C₃xC₂³.₉D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):10C6	288,654
(S₃xC₂xC₄):₁₁C₆ = C₃xDic₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):11C6	288,655
(S₃xC₂xC₄):₁₂C₆ = C₃xDic₃:₅D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):12C6	288,664
(S₃xC₂xC₄):₁₃C₆ = C₃xD₆.D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4):13C6	288,665
(S₃xC₂xC₄):₁₄C₆ = C₁₂xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):14C6	288,699
(S₃xC₂xC₄):₁₅C₆ = C₆xC₄oD₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):15C6	288,991

Non-split extensions G=N.Q with N=S₃xC₂xC₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄).₁C₆ = C₃xC₄:C₄:₇S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).1C6	288,663
(S₃xC₂xC₄).₂C₆ = C₃xC₄.D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).2C6	288,668
(S₃xC₂xC₄).₃C₆ = C₃xS₃xM₄(2)	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	48	4	(S3xC2xC4).3C6	288,677
(S₃xC₂xC₄).₄C₆ = C₃xD₆:₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).4C6	288,717
(S₃xC₂xC₄).₅C₆ = S₃xC₆xQ₈	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).5C6	288,995
(S₃xC₂xC₄).₆C₆ = C₃xD₆:C₈	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).6C6	288,254
(S₃xC₂xC₄).₇C₆ = C₃xC₄²:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).7C6	288,643
(S₃xC₂xC₄).₈C₆ = C₃xS₃xC₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).8C6	288,662
(S₃xC₂xC₄).₉C₆ = C₃xD₆:Q₈	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).9C6	288,667
(S₃xC₂xC₄).₁₀C₆ = C₆xC₈:S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₂xC₄	96		(S3xC2xC4).10C6	288,671
(S₃xC₂xC₄).₁₁C₆ = S₃xC₄xC₁₂	φ: trivial image	96		(S3xC2xC4).11C6	288,642
(S₃xC₂xC₄).₁₂C₆ = S₃xC₂xC₂₄	φ: trivial image	96		(S3xC2xC4).12C6	288,670

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