Extensions 1→N→G→Q→1 with N=Dic₁₇ and Q=S₃

Direct product G=N×Q with N=Dic₁₇ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₁₇		204	4-	S3xDic17	408,8

Semidirect products G=N:Q with N=Dic₁₇ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇⋊S₃ = C₁₇⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₇	204	4+	Dic17:S3	408,12
Dic₁₇⋊₂S₃ = D₅₁⋊₂C₄	φ: trivial image	204	4+	Dic17:2S3	408,9

Non-split extensions G=N.Q with N=Dic₁₇ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇.₁S₃ = C₅₁⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₇	408	4-	Dic17.1S3	408,13
Dic₁₇.₂S₃ = C₅₁⋊₃C₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₇	408	4	Dic17.2S3	408,6

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Extensions 1→N→G→Q→1 with N=Dic17 and Q=S3