Extensions 1→N→G→Q→1 with N=C₃₉ and Q=S₃

Direct product G=N×Q with N=C₃₉ and Q=S₃

		d	ρ	Label	ID
S₃×C₃₉		78	2	S3xC39	234,12

Semidirect products G=N:Q with N=C₃₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉⋊₁S₃ = C₃⋊D₃₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃₉	117		C39:1S3	234,15
C₃₉⋊₂S₃ = C₃×D₃₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃₉	78	2	C39:2S3	234,13
C₃₉⋊₃S₃ = C₁₃×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₉	117		C39:3S3	234,14

Non-split extensions G=N.Q with N=C₃₉ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₉.₁S₃ = D₁₁₇	φ: S₃/C₃ → C₂ ⊆ Aut C₃₉	117	2+	C39.1S3	234,5
C₃₉.₂S₃ = C₁₃×D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃₉	117	2	C39.2S3	234,3

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Extensions 1→N→G→Q→1 with N=C39 and Q=S3