Extensions 1→N→G→Q→1 with N=S₃×D₄ and Q=S₃

Direct product G=N×Q with N=S₃×D₄ and Q=S₃

		d	ρ	Label	ID
S₃²×D₄		24	8+	S3^2xD4	288,958

Semidirect products G=N:Q with N=S₃×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄)⋊₁S₃ = S₃×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×D₄	48	8+	(S3xD4):1S3	288,572
(S₃×D₄)⋊₂S₃ = D₁₂⋊₉D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃×D₄	48	8-	(S3xD4):2S3	288,580
(S₃×D₄)⋊₃S₃ = D₁₂.₇D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃×D₄	48	8+	(S3xD4):3S3	288,582
(S₃×D₄)⋊₄S₃ = D₁₂⋊₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃×D₄	48	8-	(S3xD4):4S3	288,961
(S₃×D₄)⋊₅S₃ = D₁₂⋊₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃×D₄	24	8+	(S3xD4):5S3	288,962
(S₃×D₄)⋊₆S₃ = S₃×D₄⋊₂S₃	φ: trivial image	48	8-	(S3xD4):6S3	288,959

Non-split extensions G=N.Q with N=S₃×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄).S₃ = S₃×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×D₄	48	8-	(S3xD4).S3	288,576

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