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

Direct product G=N×Q with N=C₃ and Q=S₃×C₉

		d	ρ	Label	ID
S₃×C₃×C₉		54		S3xC3xC9	162,33

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(S₃×C₉) = C₉×C₃⋊S₃	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₃	54		C3:(S3xC9)	162,39

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃×C₉) = C₉×D₉	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₃	18	2	C3.1(S3xC9)	162,3
C₃.₂(S₃×C₉) = C₃²⋊C₁₈	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₃	18	6	C3.2(S3xC9)	162,4
C₃.₃(S₃×C₉) = C₉⋊C₁₈	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₃	18	6	C3.3(S3xC9)	162,6
C₃.₄(S₃×C₉) = S₃×C₂₇	central extension (φ=1)	54	2	C3.4(S3xC9)	162,8

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