Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²xC₆²

Direct product G=NxQ with N=C₃ and Q=C₂²xC₆²

		d	ρ	Label	ID
C₂xC₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₃ and Q=C₂²xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂²xC₆²) = S₃xC₂xC₆²	φ: C₂²xC₆²/C₂xC₆² → C₂ ⊆ Aut C₃	144		C3:(C2^2xC6^2)	432,772

Non-split extensions G=N.Q with N=C₃ and Q=C₂²xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂²xC₆²) = C₂⁴xHe₃	central stem extension (φ=1)	144		C3.1(C2^2xC6^2)	432,563
C₃.₂(C₂²xC₆²) = C₂⁴x3_-¹⁺²	central stem extension (φ=1)	144		C3.2(C2^2xC6^2)	432,564

Extensions 1→N→G→Q→1 with N=C3 and Q=C22xC62