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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈)⋊₁C₆ = SL₂(𝔽₃).₁₁D₆	φ: C₆/C₁ → C₆ ⊆ Out S₃×Q₈	48	4	(S3xQ8):1C6	288,923
(S₃×Q₈)⋊₂C₆ = D₁₂.A₄	φ: C₆/C₁ → C₆ ⊆ Out S₃×Q₈	48	4-	(S3xQ8):2C6	288,926
(S₃×Q₈)⋊₃C₆ = C₂×S₃×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out S₃×Q₈	48		(S3xQ8):3C6	288,922
(S₃×Q₈)⋊₄C₆ = C₃×S₃×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×Q₈	48	4	(S3xQ8):4C6	288,684
(S₃×Q₈)⋊₅C₆ = C₃×D₄.D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×Q₈	48	4	(S3xQ8):5C6	288,686
(S₃×Q₈)⋊₆C₆ = C₃×Q₁₆⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×Q₈	96	4	(S3xQ8):6C6	288,689
(S₃×Q₈)⋊₇C₆ = C₃×Q₈.₁₅D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×Q₈	48	4	(S3xQ8):7C6	288,997
(S₃×Q₈)⋊₈C₆ = C₃×Q₈○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×Q₈	48	4	(S3xQ8):8C6	288,1000
(S₃×Q₈)⋊₉C₆ = C₃×S₃×C₄○D₄	φ: trivial image	48	4	(S3xQ8):9C6	288,998

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈).C₆ = S₃×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out S₃×Q₈	48	4	(S3xQ8).C6	288,925
(S₃×Q₈).₂C₆ = C₃×S₃×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×Q₈	96	4	(S3xQ8).2C6	288,688

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