Extensions 1→N→G→Q→1 with N=C₃ and Q=D₈₁

Direct product G=N×Q with N=C₃ and Q=D₈₁

		d	ρ	Label	ID
C₃×D₈₁		162	2	C3xD81	486,32

Semidirect products G=N:Q with N=C₃ and Q=D₈₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊D₈₁ = C₈₁⋊S₃	φ: D₈₁/C₈₁ → C₂ ⊆ Aut C₃	243		C3:D81	486,60

Non-split extensions G=N.Q with N=C₃ and Q=D₈₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₈₁ = D₂₄₃	φ: D₈₁/C₈₁ → C₂ ⊆ Aut C₃	243	2+	C3.D81	486,1

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Extensions 1→N→G→Q→1 with N=C3 and Q=D81