Extensions 1→N→G→Q→1 with N=C₃₄ and Q=S₃

Direct product G=N×Q with N=C₃₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₃₄		102	2	S3xC34	204,10

Semidirect products G=N:Q with N=C₃₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊S₃ = D₁₀₂	φ: S₃/C₃ → C₂ ⊆ Aut C₃₄	102	2+	C34:S3	204,11

Non-split extensions G=N.Q with N=C₃₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.S₃ = Dic₅₁	φ: S₃/C₃ → C₂ ⊆ Aut C₃₄	204	2-	C34.S3	204,3
C₃₄.₂S₃ = Dic₃×C₁₇	central extension (φ=1)	204	2	C34.2S3	204,1

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Extensions 1→N→G→Q→1 with N=C34 and Q=S3