Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₉

Direct product G=N×Q with N=C₃ and Q=C₃×D₉

		d	ρ	Label	ID
C₃²×D₉		54		C3^2xD9	162,32

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×D₉) = C₃×C₉⋊S₃	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₃	54		C3:(C3xD9)	162,38

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×D₉) = C₃²⋊D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₃	27		C3.1(C3xD9)	162,5
C₃.₂(C₃×D₉) = C₃×D₂₇	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₃	54	2	C3.2(C3xD9)	162,7
C₃.₃(C₃×D₉) = C₂₇⋊C₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₃	27	6+	C3.3(C3xD9)	162,9
C₃.₄(C₃×D₉) = C₉×D₉	central extension (φ=1)	18	2	C3.4(C3xD9)	162,3

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D9