Extensions 1→N→G→Q→1 with N=C₁₄ and Q=S₃

Direct product G=N×Q with N=C₁₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₁₄		42	2	S3xC14	84,13

Semidirect products G=N:Q with N=C₁₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊S₃ = D₄₂	φ: S₃/C₃ → C₂ ⊆ Aut C₁₄	42	2+	C14:S3	84,14

Non-split extensions G=N.Q with N=C₁₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.S₃ = Dic₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₁₄	84	2-	C14.S3	84,5
C₁₄.₂S₃ = C₇×Dic₃	central extension (φ=1)	84	2	C14.2S3	84,3

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Extensions 1→N→G→Q→1 with N=C14 and Q=S3