Extensions 1→N→G→Q→1 with N=C₁₃ and Q=S₃xC₆

Direct product G=NxQ with N=C₁₃ and Q=S₃xC₆

		d	ρ	Label	ID
S₃xC₇₈		156	2	S3xC78	468,51

Semidirect products G=N:Q with N=C₁₃ and Q=S₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃:₁(S₃xC₆) = S₃xC₁₃:C₆	φ: S₃xC₆/S₃ → C₆ ⊆ Aut C₁₃	39	12+	C13:1(S3xC6)	468,31
C₁₃:₂(S₃xC₆) = C₂xD₃₉:C₃	φ: S₃xC₆/C₆ → C₆ ⊆ Aut C₁₃	78	6+	C13:2(S3xC6)	468,35
C₁₃:₃(S₃xC₆) = C₂xS₃xC₁₃:C₃	φ: S₃xC₆/D₆ → C₃ ⊆ Aut C₁₃	78	6	C13:3(S3xC6)	468,34
C₁₃:₄(S₃xC₆) = C₃xS₃xD₁₃	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₁₃	78	4	C13:4(S3xC6)	468,42
C₁₃:₅(S₃xC₆) = C₆xD₃₉	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₁₃	156	2	C13:5(S3xC6)	468,52

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