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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃²xC₆) = S₃xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₃	54		C3:(C3^2xC6)	162,51

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²xC₆) = C₆xHe₃	central stem extension (φ=1)	54		C3.1(C3^2xC6)	162,48
C₃.₂(C₃²xC₆) = C₆x3_-¹⁺²	central stem extension (φ=1)	54		C3.2(C3^2xC6)	162,49
C₃.₃(C₃²xC₆) = C₂xC₉oHe₃	central stem extension (φ=1)	54	3	C3.3(C3^2xC6)	162,50

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