Extensions 1→N→G→Q→1 with N=C₆xQ₈ and Q=S₃

Direct product G=NxQ with N=C₆xQ₈ and Q=S₃

		d	ρ	Label	ID
S₃xC₆xQ₈		96		S3xC6xQ8	288,995

Semidirect products G=N:Q with N=C₆xQ₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xQ₈):₁S₃ = C₂xC₆.₆S₄	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	48		(C6xQ8):1S3	288,911
(C₆xQ₈):₂S₃ = SL₂(F₃).D₆	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	48	4	(C6xQ8):2S3	288,912
(C₆xQ₈):₃S₃ = C₆xGL₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	48		(C6xQ8):3S3	288,900
(C₆xQ₈):₄S₃ = C₃xQ₈.D₆	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	48	4	(C6xQ8):4S3	288,901
(C₆xQ₈):₅S₃ = C₂xC₃²:₁₁SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8):5S3	288,798
(C₆xQ₈):₆S₃ = C₆².₁₃₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8):6S3	288,799
(C₆xQ₈):₇S₃ = C₆².₂₆₁C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8):7S3	288,803
(C₆xQ₈):₈S₃ = C₆².₂₆₂C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8):8S3	288,804
(C₆xQ₈):₉S₃ = C₂xQ₈xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8):9S3	288,1010
(C₆xQ₈):₁₀S₃ = C₂xC₁₂.₂₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8):10S3	288,1011
(C₆xQ₈):₁₁S₃ = C₃²:₇2_-¹⁺⁴	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8):11S3	288,1012
(C₆xQ₈):₁₂S₃ = C₆xQ₈:₂S₃	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8):12S3	288,712
(C₆xQ₈):₁₃S₃ = C₃xQ₈.₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8):13S3	288,713
(C₆xQ₈):₁₄S₃ = C₃xD₆:₃Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8):14S3	288,717
(C₆xQ₈):₁₅S₃ = C₃xC₁₂.₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8):15S3	288,718
(C₆xQ₈):₁₆S₃ = C₃xQ₈.₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8):16S3	288,997
(C₆xQ₈):₁₇S₃ = C₆xQ₈:₃S₃	φ: trivial image	96		(C6xQ8):17S3	288,996

Non-split extensions G=N.Q with N=C₆xQ₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xQ₈).₁S₃ = Q₈:Dic₉	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	288		(C6xQ8).1S3	288,69
(C₆xQ₈).₂S₃ = C₂xQ₈.D₉	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	288		(C6xQ8).2S3	288,335
(C₆xQ₈).₃S₃ = C₂xQ₈:D₉	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	144		(C6xQ8).3S3	288,336
(C₆xQ₈).₄S₃ = Q₈.D₁₈	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	144	4	(C6xQ8).4S3	288,337
(C₆xQ₈).₅S₃ = C₆.GL₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	96		(C6xQ8).5S3	288,403
(C₆xQ₈).₆S₃ = C₂xC₆.₅S₄	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	96		(C6xQ8).6S3	288,910
(C₆xQ₈).₇S₃ = C₃xQ₈:Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	96		(C6xQ8).7S3	288,399
(C₆xQ₈).₈S₃ = C₆xCSU₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out C₆xQ₈	96		(C6xQ8).8S3	288,899
(C₆xQ₈).₉S₃ = C₃₆.₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144	4	(C6xQ8).9S3	288,42
(C₆xQ₈).₁₀S₃ = Q₈:₂Dic₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).10S3	288,43
(C₆xQ₈).₁₁S₃ = C₂xC₉:Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).11S3	288,151
(C₆xQ₈).₁₂S₃ = C₂xQ₈:₂D₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8).12S3	288,152
(C₆xQ₈).₁₃S₃ = C₃₆.C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144	4	(C6xQ8).13S3	288,153
(C₆xQ₈).₁₄S₃ = Dic₉:Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).14S3	288,154
(C₆xQ₈).₁₅S₃ = Q₈xDic₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).15S3	288,155
(C₆xQ₈).₁₆S₃ = D₁₈:₃Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8).16S3	288,156
(C₆xQ₈).₁₇S₃ = C₃₆.₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8).17S3	288,157
(C₆xQ₈).₁₈S₃ = C₆².₁₁₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).18S3	288,310
(C₆xQ₈).₁₉S₃ = (C₆xC₁₂).C₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8).19S3	288,311
(C₆xQ₈).₂₀S₃ = C₂xQ₈xD₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8).20S3	288,359
(C₆xQ₈).₂₁S₃ = C₂xQ₈:₃D₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144		(C6xQ8).21S3	288,360
(C₆xQ₈).₂₂S₃ = Q₈.₁₅D₁₈	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	144	4	(C6xQ8).22S3	288,361
(C₆xQ₈).₂₃S₃ = C₂xC₃²:₇Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).23S3	288,800
(C₆xQ₈).₂₄S₃ = C₆².₂₅₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).24S3	288,801
(C₆xQ₈).₂₅S₃ = Q₈xC₃:Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	288		(C6xQ8).25S3	288,802
(C₆xQ₈).₂₆S₃ = C₃xQ₈:₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).26S3	288,269
(C₆xQ₈).₂₇S₃ = C₃xC₁₂.₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	48	4	(C6xQ8).27S3	288,270
(C₆xQ₈).₂₈S₃ = C₆xC₃:Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).28S3	288,714
(C₆xQ₈).₂₉S₃ = C₃xDic₃:Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₆xQ₈	96		(C6xQ8).29S3	288,715
(C₆xQ₈).₃₀S₃ = C₃xQ₈xDic₃	φ: trivial image	96		(C6xQ8).30S3	288,716

Extensions 1→N→G→Q→1 with N=C6xQ8 and Q=S3

Extensions 1→N→G→Q→1 with N=C₆xQ₈ and Q=S₃