Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=S₃

Direct product G=N×Q with N=C₂×C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₂×C₈		48		S3xC2xC8	96,106

Semidirect products G=N:Q with N=C₂×C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁S₃ = D₆⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):1S3	96,27
(C₂×C₈)⋊₂S₃ = C₂.D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):2S3	96,28
(C₂×C₈)⋊₃S₃ = C₂×D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):3S3	96,110
(C₂×C₈)⋊₄S₃ = C₄○D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8):4S3	96,111
(C₂×C₈)⋊₅S₃ = C₂×C₂₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):5S3	96,109
(C₂×C₈)⋊₆S₃ = C₂×C₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48		(C2xC8):6S3	96,107
(C₂×C₈)⋊₇S₃ = C₈○D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8):7S3	96,108

Non-split extensions G=N.Q with N=C₂×C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁S₃ = Dic₃⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).1S3	96,21
(C₂×C₈).₂S₃ = C₂.Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).2S3	96,23
(C₂×C₈).₃S₃ = C₂₄⋊₁C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).3S3	96,25
(C₂×C₈).₄S₃ = C₂×Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).4S3	96,112
(C₂×C₈).₅S₃ = C₂₄.C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8).5S3	96,26
(C₂×C₈).₆S₃ = C₈⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).6S3	96,24
(C₂×C₈).₇S₃ = C₁₂.C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8).7S3	96,19
(C₂×C₈).₈S₃ = C₂₄⋊C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).8S3	96,22
(C₂×C₈).₉S₃ = C₂×C₃⋊C₁₆	central extension (φ=1)	96		(C2xC8).9S3	96,18
(C₂×C₈).₁₀S₃ = C₈×Dic₃	central extension (φ=1)	96		(C2xC8).10S3	96,20

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