Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₁₃:C₆

Direct product G=NxQ with N=C₃ and Q=C₂xC₁₃:C₆

		d	ρ	Label	ID
C₆xC₁₃:C₆		78	6	C6xC13:C6	468,33

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₁₃:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₁₃:C₆) = S₃xC₁₃:C₆	φ: C₂xC₁₃:C₆/C₁₃:C₆ → C₂ ⊆ Aut C₃	39	12+	C3:1(C2xC13:C6)	468,31
C₃:₂(C₂xC₁₃:C₆) = C₂xD₃₉:C₃	φ: C₂xC₁₃:C₆/C₂xC₁₃:C₃ → C₂ ⊆ Aut C₃	78	6+	C3:2(C2xC13:C6)	468,35

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₁₃:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₁₃:C₆) = C₂xC₁₃:C₁₈	central extension (φ=1)	234	6	C3.(C2xC13:C6)	468,8

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC13:C6