Extensions 1→N→G→Q→1 with N=C₃₃ and Q=S₃

Direct product G=NxQ with N=C₃₃ and Q=S₃

		d	ρ	Label	ID
S₃xC₃₃		66	2	S3xC33	198,6

Semidirect products G=N:Q with N=C₃₃ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃:₁S₃ = C₃:D₃₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₃	99		C33:1S3	198,9
C₃₃:₂S₃ = C₃xD₃₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₃	66	2	C33:2S3	198,7
C₃₃:₃S₃ = C₁₁xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₃	99		C33:3S3	198,8

Non-split extensions G=N.Q with N=C₃₃ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃.₁S₃ = D₉₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃₃	99	2+	C33.1S3	198,3
C₃₃.₂S₃ = C₁₁xD₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃₃	99	2	C33.2S3	198,1

Extensions 1→N→G→Q→1 with N=C33 and Q=S3