Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=S₃

Direct product G=N×Q with N=C₂×Q₈ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×Q₈		48		C2xS3xQ8	96,212

Semidirect products G=N:Q with N=C₂×Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁S₃ = C₂×GL₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out C₂×Q₈	16		(C2xQ8):1S3	96,189
(C₂×Q₈)⋊₂S₃ = Q₈.D₆	φ: S₃/C₁ → S₃ ⊆ Out C₂×Q₈	16	4-	(C2xQ8):2S3	96,190
(C₂×Q₈)⋊₃S₃ = C₂×Q₈⋊₂S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	48		(C2xQ8):3S3	96,148
(C₂×Q₈)⋊₄S₃ = Q₈.₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8):4S3	96,149
(C₂×Q₈)⋊₅S₃ = D₆⋊₃Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	48		(C2xQ8):5S3	96,153
(C₂×Q₈)⋊₆S₃ = C₁₂.₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	48		(C2xQ8):6S3	96,154
(C₂×Q₈)⋊₇S₃ = Q₈.₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8):7S3	96,214
(C₂×Q₈)⋊₈S₃ = C₂×Q₈⋊₃S₃	φ: trivial image	48		(C2xQ8):8S3	96,213

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁S₃ = Q₈⋊Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×Q₈	32		(C2xQ8).1S3	96,66
(C₂×Q₈).₂S₃ = C₂×CSU₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out C₂×Q₈	32		(C2xQ8).2S3	96,188
(C₂×Q₈).₃S₃ = Q₈⋊₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).3S3	96,42
(C₂×Q₈).₄S₃ = C₁₂.₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8).4S3	96,43
(C₂×Q₈).₅S₃ = C₂×C₃⋊Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).5S3	96,150
(C₂×Q₈).₆S₃ = Dic₃⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).6S3	96,151
(C₂×Q₈).₇S₃ = Q₈×Dic₃	φ: trivial image	96		(C2xQ8).7S3	96,152

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