Extensions 1→N→G→Q→1 with N=C₆₉ and Q=S₃

Direct product G=N×Q with N=C₆₉ and Q=S₃

		d	ρ	Label	ID
S₃×C₆₉		138	2	S3xC69	414,6

Semidirect products G=N:Q with N=C₆₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₉⋊₁S₃ = C₃⋊D₆₉	φ: S₃/C₃ → C₂ ⊆ Aut C₆₉	207		C69:1S3	414,9
C₆₉⋊₂S₃ = C₃×D₆₉	φ: S₃/C₃ → C₂ ⊆ Aut C₆₉	138	2	C69:2S3	414,7
C₆₉⋊₃S₃ = C₃⋊S₃×C₂₃	φ: S₃/C₃ → C₂ ⊆ Aut C₆₉	207		C69:3S3	414,8

Non-split extensions G=N.Q with N=C₆₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₉.₁S₃ = D₂₀₇	φ: S₃/C₃ → C₂ ⊆ Aut C₆₉	207	2+	C69.1S3	414,3
C₆₉.₂S₃ = D₉×C₂₃	φ: S₃/C₃ → C₂ ⊆ Aut C₆₉	207	2	C69.2S3	414,1

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Extensions 1→N→G→Q→1 with N=C69 and Q=S3