Extensions 1→N→G→Q→1 with N=Q₈⋊C₉ and Q=S₃

Direct product G=N×Q with N=Q₈⋊C₉ and Q=S₃

		d	ρ	Label	ID
S₃×Q₈⋊C₉		144	4	S3xQ8:C9	432,268

Semidirect products G=N:Q with N=Q₈⋊C₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉⋊₁S₃ = C₁₈.₆S₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊C₉	72	4+	Q8:C9:1S3	432,253
Q₈⋊C₉⋊₂S₃ = C₃².₃GL₂(𝔽₃)	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊C₉	216		Q8:C9:2S3	432,256
Q₈⋊C₉⋊₃S₃ = Q₈⋊C₉⋊₃S₃	φ: trivial image	144	4	Q8:C9:3S3	432,267

Non-split extensions G=N.Q with N=Q₈⋊C₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉.₁S₃ = C₁₈.₅S₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊C₉	144	4-	Q8:C9.1S3	432,252
Q₈⋊C₉.₂S₃ = C₃².₃CSU₂(𝔽₃)	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊C₉	432		Q8:C9.2S3	432,255

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Extensions 1→N→G→Q→1 with N=Q8⋊C9 and Q=S3