Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₃×S₃

Direct product G=N×Q with N=C₁₃ and Q=C₃×S₃

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

Semidirect products G=N:Q with N=C₁₃ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₃×S₃) = D₃₉⋊C₃	φ: C₃×S₃/C₃ → C₆ ⊆ Aut C₁₃	39	6+	C13:(C3xS3)	234,9
C₁₃⋊₂(C₃×S₃) = S₃×C₁₃⋊C₃	φ: C₃×S₃/S₃ → C₃ ⊆ Aut C₁₃	39	6	C13:2(C3xS3)	234,8
C₁₃⋊₃(C₃×S₃) = C₃×D₃₉	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₃	78	2	C13:3(C3xS3)	234,13

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