Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=Q₈

Direct product G=N×Q with N=S₃×C₆ and Q=Q₈

		d	ρ	Label	ID
S₃×C₆×Q₈		96		S3xC6xQ8	288,995

Semidirect products G=N:Q with N=S₃×C₆ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁Q₈ = D₆⋊₁Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₆	96		(S3xC6):1Q8	288,535
(S₃×C₆)⋊₂Q₈ = D₆⋊₂Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₆	96		(S3xC6):2Q8	288,541
(S₃×C₆)⋊₃Q₈ = D₆⋊₃Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₆	96		(S3xC6):3Q8	288,544
(S₃×C₆)⋊₄Q₈ = D₆⋊₄Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₆	96		(S3xC6):4Q8	288,547
(S₃×C₆)⋊₅Q₈ = D₆⋊Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):5Q8	288,499
(S₃×C₆)⋊₆Q₈ = D₆⋊₆Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):6Q8	288,504
(S₃×C₆)⋊₇Q₈ = D₆⋊₇Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):7Q8	288,505
(S₃×C₆)⋊₈Q₈ = C₃×D₆⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):8Q8	288,667
(S₃×C₆)⋊₉Q₈ = C₃×C₄.D₁₂	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):9Q8	288,668
(S₃×C₆)⋊₁₀Q₈ = C₃×D₆⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):10Q8	288,717
(S₃×C₆)⋊₁₁Q₈ = C₂×S₃×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6):11Q8	288,942

Non-split extensions G=N.Q with N=S₃×C₆ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁Q₈ = S₃×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6).1Q8	288,524
(S₃×C₆).₂Q₈ = S₃×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₆	96		(S3xC6).2Q8	288,537
(S₃×C₆).₃Q₈ = C₃×S₃×C₄⋊C₄	φ: trivial image	96		(S3xC6).3Q8	288,662

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