Extensions 1→N→G→Q→1 with N=D₃₄ and Q=S₃

Direct product G=N×Q with N=D₃₄ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×D₁₇		102	4+	C2xS3xD17	408,41

Semidirect products G=N:Q with N=D₃₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₄⋊₁S₃ = C₅₁⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out D₃₄	204	4-	D34:1S3	408,10
D₃₄⋊₂S₃ = C₃⋊D₆₈	φ: S₃/C₃ → C₂ ⊆ Out D₃₄	204	4+	D34:2S3	408,11

Non-split extensions G=N.Q with N=D₃₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₄.S₃ = C₂×C₅₁⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out D₃₄	102	4	D34.S3	408,40
D₃₄.₂S₃ = Dic₃×D₁₇	φ: trivial image	204	4-	D34.2S3	408,7

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Extensions 1→N→G→Q→1 with N=D34 and Q=S3