Extensions 1→N→G→Q→1 with N=C₈₂ and Q=S₃

Direct product G=N×Q with N=C₈₂ and Q=S₃

		d	ρ	Label	ID
S₃×C₈₂		246	2	S3xC82	492,10

Semidirect products G=N:Q with N=C₈₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₂⋊S₃ = D₂₄₆	φ: S₃/C₃ → C₂ ⊆ Aut C₈₂	246	2+	C82:S3	492,11

Non-split extensions G=N.Q with N=C₈₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₂.S₃ = Dic₁₂₃	φ: S₃/C₃ → C₂ ⊆ Aut C₈₂	492	2-	C82.S3	492,3
C₈₂.₂S₃ = Dic₃×C₄₁	central extension (φ=1)	492	2	C82.2S3	492,1

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Extensions 1→N→G→Q→1 with N=C82 and Q=S3