Extensions 1→N→G→Q→1 with N=C₂²×C₈ and Q=S₃

Direct product G=N×Q with N=C₂²×C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₂²×C₈		96		S3xC2^2xC8	192,1295

Semidirect products G=N:Q with N=C₂²×C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₈)⋊₁S₃ = C₈×S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂²×C₈	24	3	(C2^2xC8):1S3	192,958
(C₂²×C₈)⋊₂S₃ = A₄⋊D₈	φ: S₃/C₁ → S₃ ⊆ Aut C₂²×C₈	24	6+	(C2^2xC8):2S3	192,961
(C₂²×C₈)⋊₃S₃ = C₈⋊₂S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂²×C₈	24	6	(C2^2xC8):3S3	192,960
(C₂²×C₈)⋊₄S₃ = C₈⋊S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂²×C₈	24	6	(C2^2xC8):4S3	192,959
(C₂²×C₈)⋊₅S₃ = C₂×D₆⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):5S3	192,667
(C₂²×C₈)⋊₆S₃ = C₈×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):6S3	192,668
(C₂²×C₈)⋊₇S₃ = (C₂²×C₈)⋊₇S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):7S3	192,669
(C₂²×C₈)⋊₈S₃ = C₂×C₂.D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):8S3	192,671
(C₂²×C₈)⋊₉S₃ = C₂³.₂₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):9S3	192,672
(C₂²×C₈)⋊₁₀S₃ = C₂₄⋊₂₉D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):10S3	192,674
(C₂²×C₈)⋊₁₁S₃ = C₂²×D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):11S3	192,1299
(C₂²×C₈)⋊₁₂S₃ = C₂×C₄○D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):12S3	192,1300
(C₂²×C₈)⋊₁₃S₃ = C₂₄⋊₃₀D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):13S3	192,673
(C₂²×C₈)⋊₁₄S₃ = C₂²×C₂₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):14S3	192,1298
(C₂²×C₈)⋊₁₅S₃ = C₂₄⋊₃₃D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):15S3	192,670
(C₂²×C₈)⋊₁₆S₃ = C₂²×C₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):16S3	192,1296
(C₂²×C₈)⋊₁₇S₃ = C₂×C₈○D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8):17S3	192,1297

Non-split extensions G=N.Q with N=C₂²×C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₈).₁S₃ = A₄⋊C₁₆	φ: S₃/C₁ → S₃ ⊆ Aut C₂²×C₈	48	3	(C2^2xC8).1S3	192,186
(C₂²×C₈).₂S₃ = A₄⋊Q₁₆	φ: S₃/C₁ → S₃ ⊆ Aut C₂²×C₈	48	6-	(C2^2xC8).2S3	192,957
(C₂²×C₈).₃S₃ = C₂₄.₉₈D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).3S3	192,108
(C₂²×C₈).₄S₃ = (C₂×C₂₄)⋊₅C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).4S3	192,109
(C₂²×C₈).₅S₃ = C₁₂.₉C₄²	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).5S3	192,110
(C₂²×C₈).₆S₃ = C₁₂.₁₀C₄²	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).6S3	192,111
(C₂²×C₈).₇S₃ = C₂×Dic₃⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).7S3	192,658
(C₂²×C₈).₈S₃ = Dic₃⋊C₈⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).8S3	192,661
(C₂²×C₈).₉S₃ = C₂×C₂.Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).9S3	192,662
(C₂²×C₈).₁₀S₃ = C₂×C₂₄⋊₁C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).10S3	192,664
(C₂²×C₈).₁₁S₃ = C₂₄.₈₂D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).11S3	192,675
(C₂²×C₈).₁₂S₃ = C₂²×Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).12S3	192,1301
(C₂²×C₈).₁₃S₃ = C₂³.₂₇D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).13S3	192,665
(C₂²×C₈).₁₄S₃ = C₂×C₂₄.C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).14S3	192,666
(C₂²×C₈).₁₅S₃ = C₂×C₈⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).15S3	192,663
(C₂²×C₈).₁₆S₃ = C₂×C₁₂.C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).16S3	192,656
(C₂²×C₈).₁₇S₃ = C₂×C₂₄⋊C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	192		(C2^2xC8).17S3	192,659
(C₂²×C₈).₁₈S₃ = C₁₂.₁₂C₄²	φ: S₃/C₃ → C₂ ⊆ Aut C₂²×C₈	96		(C2^2xC8).18S3	192,660
(C₂²×C₈).₁₉S₃ = C₂²×C₃⋊C₁₆	central extension (φ=1)	192		(C2^2xC8).19S3	192,655
(C₂²×C₈).₂₀S₃ = Dic₃×C₂×C₈	central extension (φ=1)	192		(C2^2xC8).20S3	192,657

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Extensions 1→N→G→Q→1 with N=C22×C8 and Q=S3

Extensions 1→N→G→Q→1 with N=C₂²×C₈ and Q=S₃