Extensions 1→N→G→Q→1 with N=C₈₁ and Q=S₃

Direct product G=N×Q with N=C₈₁ and Q=S₃

		d	ρ	Label	ID
S₃×C₈₁		162	2	S3xC81	486,33

Semidirect products G=N:Q with N=C₈₁ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₁⋊S₃ = C₈₁⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₈₁	243		C81:S3	486,60

Non-split extensions G=N.Q with N=C₈₁ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₁.S₃ = D₂₄₃	φ: S₃/C₃ → C₂ ⊆ Aut C₈₁	243	2+	C81.S3	486,1

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Extensions 1→N→G→Q→1 with N=C81 and Q=S3