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

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

		d	ρ	Label	ID
C₃⁴		81		C3^4	81,15

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₃² = C₃×He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃²	27		C3^2:C3^2	81,12

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².₁C₃² = C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃²	9	3	C3^2.1C3^2	81,7
C₃².₂C₃² = He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃²	27	3	C3^2.2C3^2	81,8
C₃².₃C₃² = He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃²	27	3	C3^2.3C3^2	81,9
C₃².₄C₃² = C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃²	27	3	C3^2.4C3^2	81,10
C₃².₅C₃² = C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃²	27	3	C3^2.5C3^2	81,14
C₃².₆C₃² = C₃²⋊C₉	central extension (φ=1)	27		C3^2.6C3^2	81,3
C₃².₇C₃² = C₉⋊C₉	central extension (φ=1)	81		C3^2.7C3^2	81,4
C₃².₈C₃² = C₃×3_-¹⁺²	central extension (φ=1)	27		C3^2.8C3^2	81,13

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