Extensions 1→N→G→Q→1 with N=PSU₃(𝔽₂) and Q=S₃

Direct product G=N×Q with N=PSU₃(𝔽₂) and Q=S₃

		d	ρ	Label	ID
S₃×PSU₃(𝔽₂)		24	16+	S3xPSU(3,2)	432,742

Semidirect products G=N:Q with N=PSU₃(𝔽₂) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
PSU₃(𝔽₂)⋊S₃ = AGL₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out PSU₃(𝔽₂)	9	8+	PSU(3,2):S3	432,734
PSU₃(𝔽₂)⋊₂S₃ = C₃³⋊₃SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out PSU₃(𝔽₂)	24	16+	PSU(3,2):2S3	432,739

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