Extensions 1→N→G→Q→1 with N=C₂xC₃:C₈ and Q=S₃

Direct product G=NxQ with N=C₂xC₃:C₈ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xC₃:C₈		96		C2xS3xC3:C8	288,460

Semidirect products G=N:Q with N=C₂xC₃:C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈):₁S₃ = C₆.₁₆D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):1S3	288,211
(C₂xC₃:C₈):₂S₃ = C₆.₁₇D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):2S3	288,212
(C₂xC₃:C₈):₃S₃ = D₁₂.₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):3S3	288,462
(C₂xC₃:C₈):₄S₃ = C₃:C₈.₂₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):4S3	288,465
(C₂xC₃:C₈):₅S₃ = C₂xC₃:D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):5S3	288,472
(C₂xC₃:C₈):₆S₃ = C₂xD₁₂.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):6S3	288,476
(C₂xC₃:C₈):₇S₃ = D₁₂.₂₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8):7S3	288,477
(C₂xC₃:C₈):₈S₃ = C₂xC₃²:₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):8S3	288,480
(C₂xC₃:C₈):₉S₃ = C₁₂.₇₇D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):9S3	288,204
(C₂xC₃:C₈):₁₀S₃ = C₁₂.₇₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):10S3	288,205
(C₂xC₃:C₈):₁₁S₃ = C₂xD₆.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8):11S3	288,467
(C₂xC₃:C₈):₁₂S₃ = C₂xC₁₂.₃₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48		(C2xC3:C8):12S3	288,468
(C₂xC₃:C₈):₁₃S₃ = C₂xC₁₂.₂₉D₆	φ: trivial image	48		(C2xC3:C8):13S3	288,464

Non-split extensions G=N.Q with N=C₂xC₃:C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈).₁S₃ = C₆.Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).1S3	288,214
(C₂xC₃:C₈).₂S₃ = C₁₂.₇₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).2S3	288,215
(C₂xC₃:C₈).₃S₃ = C₁₂.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).3S3	288,221
(C₂xC₃:C₈).₄S₃ = C₆.₁₈D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).4S3	288,223
(C₂xC₃:C₈).₅S₃ = C₁₂.₈₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	48	4	(C2xC3:C8).5S3	288,225
(C₂xC₃:C₈).₆S₃ = C₂xC₃²:₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).6S3	288,483
(C₂xC₃:C₈).₇S₃ = C₃:C₈:Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).7S3	288,202
(C₂xC₃:C₈).₈S₃ = C₂.Dic₃²	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).8S3	288,203
(C₂xC₃:C₈).₉S₃ = C₁₂.₈₁D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).9S3	288,219
(C₂xC₃:C₈).₁₀S₃ = C₁₂.₁₅Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:C₈	96		(C2xC3:C8).10S3	288,220
(C₂xC₃:C₈).₁₁S₃ = Dic₃xC₃:C₈	φ: trivial image	96		(C2xC3:C8).11S3	288,200
(C₂xC₃:C₈).₁₂S₃ = C₆.(S₃xC₈)	φ: trivial image	96		(C2xC3:C8).12S3	288,201

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