Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₆

Direct product G=NxQ with N=C₃ and Q=C₃xC₆

		d	ρ	Label	ID
C₃²xC₆		54		C3^2xC6	54,15

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃xC₆) = S₃xC₃²	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₃	18		C3:(C3xC6)	54,12

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₆) = C₂xHe₃	central stem extension (φ=1)	18	3	C3.1(C3xC6)	54,10
C₃.₂(C₃xC₆) = C₂x3_-¹⁺²	central stem extension (φ=1)	18	3	C3.2(C3xC6)	54,11

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC6