Extensions 1→N→G→Q→1 with N=D₁₄ and Q=S₃

Direct product G=N×Q with N=D₁₄ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×D₇		42	4+	C2xS3xD7	168,50

Semidirect products G=N:Q with N=D₁₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁S₃ = C₂₁⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out D₁₄	84	4-	D14:1S3	168,15
D₁₄⋊₂S₃ = C₃⋊D₂₈	φ: S₃/C₃ → C₂ ⊆ Out D₁₄	84	4+	D14:2S3	168,16

Non-split extensions G=N.Q with N=D₁₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.S₃ = Dic₃×D₇	φ: trivial image	84	4-	D14.S3	168,12

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Extensions 1→N→G→Q→1 with N=D14 and Q=S3