Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃²

Direct product G=N×Q with N=C₉ and Q=C₃²

		d	ρ	Label	ID
C₃²×C₉		81		C3^2xC9	81,11

Semidirect products G=N:Q with N=C₉ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊C₃² = C₃×3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₉	27		C9:C3^2	81,13

Non-split extensions G=N.Q with N=C₉ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.C₃² = C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₉	27	3	C9.C3^2	81,14
C₉.₂C₃² = C₂₇⋊C₃	central extension (φ=1)	27	3	C9.2C3^2	81,6

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Extensions 1→N→G→Q→1 with N=C9 and Q=C32