Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=S₃

Direct product G=NxQ with N=Dic₁₄ and Q=S₃

		d	ρ	Label	ID
S₃xDic₁₄		168	4-	S3xDic14	336,140

Semidirect products G=N:Q with N=Dic₁₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄:₁S₃ = C₂₁:SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₄	168	4+	Dic14:1S3	336,35
Dic₁₄:₂S₃ = C₄₂.D₄	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:2S3	336,33
Dic₁₄:₃S₃ = D₁₂:D₇	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:3S3	336,141
Dic₁₄:₄S₃ = D₂₁:Q₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:4S3	336,143
Dic₁₄:₅S₃ = D₈₄:C₂	φ: trivial image	168	4+	Dic14:5S3	336,142

Non-split extensions G=N.Q with N=Dic₁₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.₁S₃ = C₃:Dic₂₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₄	336	4-	Dic14.1S3	336,39
Dic₁₄.₂S₃ = C₂₁:Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₄	336	4	Dic14.2S3	336,38

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