Extensions 1→N→G→Q→1 with N=C₂³xC₆ and Q=C₃

Direct product G=NxQ with N=C₂³xC₆ and Q=C₃

		d	ρ	Label	ID
C₂²xC₆²		144		C2^2xC6^2	144,197

Semidirect products G=N:Q with N=C₂³xC₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆):₁C₃ = A₄xC₂xC₆	φ: C₃/C₁ → C₃ ⊆ Aut C₂³xC₆	36		(C2^3xC6):1C3	144,193
(C₂³xC₆):₂C₃ = C₃xC₂²:A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂³xC₆	36		(C2^3xC6):2C3	144,194

Non-split extensions G=N.Q with N=C₂³xC₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆).₁C₃ = C₂²xC₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂³xC₆	36		(C2^3xC6).1C3	144,110
(C₂³xC₆).₂C₃ = C₂⁴:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂³xC₆	36		(C2^3xC6).2C3	144,111

Extensions 1→N→G→Q→1 with N=C23xC6 and Q=C3