Extensions 1→N→G→Q→1 with N=C₄×C₈ and Q=S₃

Direct product G=N×Q with N=C₄×C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₄×C₈		96		S3xC4xC8	192,243

Semidirect products G=N:Q with N=C₄×C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈)⋊₁S₃ = C₄.₁₇D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):1S3	192,18
(C₄×C₈)⋊₂S₃ = C₄².₂₈₂D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):2S3	192,244
(C₄×C₈)⋊₃S₃ = C₈×D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):3S3	192,245
(C₄×C₈)⋊₄S₃ = C₄².₂₄₃D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):4S3	192,249
(C₄×C₈)⋊₅S₃ = C₄.₅D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):5S3	192,253
(C₄×C₈)⋊₆S₃ = C₄².₂₆₄D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):6S3	192,256
(C₄×C₈)⋊₇S₃ = C₄×D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):7S3	192,251
(C₄×C₈)⋊₈S₃ = C₁₂⋊₄D₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):8S3	192,254
(C₄×C₈)⋊₉S₃ = C₈.₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):9S3	192,255
(C₄×C₈)⋊₁₀S₃ = D₂₄⋊₁₁C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	48	2	(C4xC8):10S3	192,259
(C₄×C₈)⋊₁₁S₃ = C₄×C₂₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):11S3	192,250
(C₄×C₈)⋊₁₂S₃ = C₈⋊₅D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):12S3	192,252
(C₄×C₈)⋊₁₃S₃ = C₄×C₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):13S3	192,246
(C₄×C₈)⋊₁₄S₃ = C₈⋊₆D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):14S3	192,247
(C₄×C₈)⋊₁₅S₃ = D₆.C₄²	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	96		(C4xC8):15S3	192,248

Non-split extensions G=N.Q with N=C₄×C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈).₁S₃ = C₄².₂₇₉D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).1S3	192,13
(C₄×C₈).₂S₃ = C₄.₈Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).2S3	192,15
(C₄×C₈).₃S₃ = C₁₂⋊C₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).3S3	192,21
(C₄×C₈).₄S₃ = C₈×Dic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).4S3	192,237
(C₄×C₈).₅S₃ = C₁₂.₁₄Q₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).5S3	192,240
(C₄×C₈).₆S₃ = C₂₄⋊₁C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).6S3	192,17
(C₄×C₈).₇S₃ = C₂₄⋊₈Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).7S3	192,241
(C₄×C₈).₈S₃ = C₄×Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).8S3	192,257
(C₄×C₈).₉S₃ = C₁₂⋊₄Q₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).9S3	192,258
(C₄×C₈).₁₀S₃ = C₂₄.₁₃Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).10S3	192,242
(C₄×C₈).₁₁S₃ = C₂₄.₁C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	48	2	(C4xC8).11S3	192,22
(C₄×C₈).₁₂S₃ = C₂₄⋊₂C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).12S3	192,16
(C₄×C₈).₁₃S₃ = C₂₄⋊₉Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).13S3	192,239
(C₄×C₈).₁₄S₃ = C₂₄⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).14S3	192,14
(C₄×C₈).₁₅S₃ = C₂₄.C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).15S3	192,20
(C₄×C₈).₁₆S₃ = C₂₄⋊₁₂Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄×C₈	192		(C4xC8).16S3	192,238
(C₄×C₈).₁₇S₃ = C₈×C₃⋊C₈	central extension (φ=1)	192		(C4xC8).17S3	192,12
(C₄×C₈).₁₈S₃ = C₄×C₃⋊C₁₆	central extension (φ=1)	192		(C4xC8).18S3	192,19

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