Extensions 1→N→G→Q→1 with N=Dic₁₂ and Q=S₃

Direct product G=N×Q with N=Dic₁₂ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₁₂		96	4-	S3xDic12	288,447

Semidirect products G=N:Q with N=Dic₁₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂⋊₁S₃ = C₂₄.₄₉D₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	48	4+	Dic12:1S3	288,197
Dic₁₂⋊₂S₃ = Dic₁₂⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:2S3	288,449
Dic₁₂⋊₃S₃ = D₂₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	96	4	Dic12:3S3	288,195
Dic₁₂⋊₄S₃ = C₂₄.₂₃D₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:4S3	288,450
Dic₁₂⋊₅S₃ = D₂₄⋊₅S₃	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:5S3	288,458
Dic₁₂⋊₆S₃ = D₁₂.₄D₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:6S3	288,459
Dic₁₂⋊₇S₃ = D₆.₃D₁₂	φ: trivial image	48	4+	Dic12:7S3	288,456

Non-split extensions G=N.Q with N=Dic₁₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂.₁S₃ = C₃²⋊₃Q₃₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.1S3	288,199
Dic₁₂.₂S₃ = C₃²⋊₂Q₃₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₂	96	4	Dic12.2S3	288,198

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