Extensions 1→N→G→Q→1 with N=C₃²xC₆ and Q=C₃

Direct product G=NxQ with N=C₃²xC₆ and Q=C₃

		d	ρ	Label	ID
C₃³xC₆		162		C3^3xC6	162,55

Semidirect products G=N:Q with N=C₃²xC₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²xC₆):₁C₃ = C₂xC₃wrC₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₆	18	3	(C3^2xC6):1C3	162,28
(C₃²xC₆):₂C₃ = C₆xHe₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₆	54		(C3^2xC6):2C3	162,48

Non-split extensions G=N.Q with N=C₃²xC₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²xC₆).₁C₃ = C₂xC₃²:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₆	54		(C3^2xC6).1C3	162,24
(C₃²xC₆).₂C₃ = C₆x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₆	54		(C3^2xC6).2C3	162,49

Extensions 1→N→G→Q→1 with N=C32xC6 and Q=C3