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

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

		d	ρ	Label	ID
S₃²×C₈		48	4	S3^2xC8	288,437

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈)⋊₁S₃ = S₃×D₂₄	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	48	4+	(S3xC8):1S3	288,441
(S₃×C₈)⋊₂S₃ = D₂₄⋊₇S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	96	4-	(S3xC8):2S3	288,455
(S₃×C₈)⋊₃S₃ = D₆.₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	48	4+	(S3xC8):3S3	288,456
(S₃×C₈)⋊₄S₃ = S₃×C₂₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):4S3	288,440
(S₃×C₈)⋊₅S₃ = D₆.₁D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):5S3	288,454
(S₃×C₈)⋊₆S₃ = C₂₄.₆₃D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):6S3	288,451
(S₃×C₈)⋊₇S₃ = S₃×C₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):7S3	288,438
(S₃×C₈)⋊₈S₃ = C₂₄.₆₄D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):8S3	288,452

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈).₁S₃ = S₃×Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	96	4-	(S3xC8).1S3	288,447
(S₃×C₈).₂S₃ = C₂₄.₆₁D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₈	96	4	(S3xC8).2S3	288,191
(S₃×C₈).₃S₃ = S₃×C₃⋊C₁₆	φ: trivial image	96	4	(S3xC8).3S3	288,189

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