Extensions 1→N→G→Q→1 with N=S₃xQ₈ and Q=C₆

Direct product G=NxQ with N=S₃xQ₈ and Q=C₆

		d	ρ	Label	ID
S₃xC₆xQ₈		96		S3xC6xQ8	288,995

Semidirect products G=N:Q with N=S₃xQ₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xQ₈):₁C₆ = SL₂(F₃).₁₁D₆	φ: C₆/C₁ → C₆ ⊆ Out S₃xQ₈	48	4	(S3xQ8):1C6	288,923
(S₃xQ₈):₂C₆ = D₁₂.A₄	φ: C₆/C₁ → C₆ ⊆ Out S₃xQ₈	48	4-	(S3xQ8):2C6	288,926
(S₃xQ₈):₃C₆ = C₂xS₃xSL₂(F₃)	φ: C₆/C₂ → C₃ ⊆ Out S₃xQ₈	48		(S3xQ8):3C6	288,922
(S₃xQ₈):₄C₆ = C₃xS₃xSD₁₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xQ₈	48	4	(S3xQ8):4C6	288,684
(S₃xQ₈):₅C₆ = C₃xD₄.D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xQ₈	48	4	(S3xQ8):5C6	288,686
(S₃xQ₈):₆C₆ = C₃xQ₁₆:S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xQ₈	96	4	(S3xQ8):6C6	288,689
(S₃xQ₈):₇C₆ = C₃xQ₈.₁₅D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xQ₈	48	4	(S3xQ8):7C6	288,997
(S₃xQ₈):₈C₆ = C₃xQ₈oD₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xQ₈	48	4	(S3xQ8):8C6	288,1000
(S₃xQ₈):₉C₆ = C₃xS₃xC₄oD₄	φ: trivial image	48	4	(S3xQ8):9C6	288,998

Non-split extensions G=N.Q with N=S₃xQ₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xQ₈).C₆ = S₃xC₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out S₃xQ₈	48	4	(S3xQ8).C6	288,925
(S₃xQ₈).₂C₆ = C₃xS₃xQ₁₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xQ₈	96	4	(S3xQ8).2C6	288,688

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