Extensions 1→N→G→Q→1 with N=S₃xC₆ and Q=Q₈

Direct product G=NxQ with N=S₃xC₆ and Q=Q₈

		d	ρ	Label	ID
S₃xC₆xQ₈		96		S3xC6xQ8	288,995

Semidirect products G=N:Q with N=S₃xC₆ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₆):₁Q₈ = D₆:₁Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃xC₆	96		(S3xC6):1Q8	288,535
(S₃xC₆):₂Q₈ = D₆:₂Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃xC₆	96		(S3xC6):2Q8	288,541
(S₃xC₆):₃Q₈ = D₆:₃Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃xC₆	96		(S3xC6):3Q8	288,544
(S₃xC₆):₄Q₈ = D₆:₄Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃xC₆	96		(S3xC6):4Q8	288,547
(S₃xC₆):₅Q₈ = D₆:Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6):5Q8	288,499
(S₃xC₆):₆Q₈ = D₆:₆Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6):6Q8	288,504
(S₃xC₆):₇Q₈ = D₆:₇Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6):7Q8	288,505
(S₃xC₆):₈Q₈ = C₃xD₆:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6):8Q8	288,667
(S₃xC₆):₉Q₈ = C₃xC₄.D₁₂	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6):9Q8	288,668
(S₃xC₆):₁₀Q₈ = C₃xD₆:₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6):10Q8	288,717
(S₃xC₆):₁₁Q₈ = C₂xS₃xDic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6):11Q8	288,942

Non-split extensions G=N.Q with N=S₃xC₆ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₆).₁Q₈ = S₃xDic₃:C₄	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6).1Q8	288,524
(S₃xC₆).₂Q₈ = S₃xC₄:Dic₃	φ: Q₈/C₄ → C₂ ⊆ Out S₃xC₆	96		(S3xC6).2Q8	288,537
(S₃xC₆).₃Q₈ = C₃xS₃xC₄:C₄	φ: trivial image	96		(S3xC6).3Q8	288,662

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