Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉:S₃

Direct product G=NxQ with N=C₃ and Q=C₉:S₃

		d	ρ	Label	ID
C₃xC₉:S₃		54		C3xC9:S3	162,38

Semidirect products G=N:Q with N=C₃ and Q=C₉:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₉:S₃) = C₃²:₄D₉	φ: C₉:S₃/C₃xC₉ → C₂ ⊆ Aut C₃	81		C3:(C9:S3)	162,45

Non-split extensions G=N.Q with N=C₃ and Q=C₉:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₉:S₃) = C₉:D₉	φ: C₉:S₃/C₃xC₉ → C₂ ⊆ Aut C₃	81		C3.1(C9:S3)	162,16
C₃.₂(C₉:S₃) = C₂₇:S₃	φ: C₉:S₃/C₃xC₉ → C₂ ⊆ Aut C₃	81		C3.2(C9:S3)	162,18
C₃.₃(C₉:S₃) = C₃²:₂D₉	central stem extension (φ=1)	18	6	C3.3(C9:S3)	162,17

Extensions 1→N→G→Q→1 with N=C3 and Q=C9:S3