Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃xC₃²

Direct product G=NxQ with N=C₂² and Q=S₃xC₃²

		d	ρ	Label	ID
S₃xC₆²		72		S3xC6^2	216,174

Semidirect products G=N:Q with N=C₂² and Q=S₃xC₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(S₃xC₃²) = C₃²xS₄	φ: S₃xC₃²/C₃² → S₃ ⊆ Aut C₂²	36		C2^2:(S3xC3^2)	216,163
C₂²:₂(S₃xC₃²) = C₃xS₃xA₄	φ: S₃xC₃²/C₃xS₃ → C₃ ⊆ Aut C₂²	24	6	C2^2:2(S3xC3^2)	216,166
C₂²:₃(S₃xC₃²) = C₃²xC₃:D₄	φ: S₃xC₃²/C₃³ → C₂ ⊆ Aut C₂²	36		C2^2:3(S3xC3^2)	216,139

Non-split extensions G=N.Q with N=C₂² and Q=S₃xC₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(S₃xC₃²) = Dic₃xC₃xC₆	central extension (φ=1)	72		C2^2.(S3xC3^2)	216,138

Extensions 1→N→G→Q→1 with N=C22 and Q=S3xC32