Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₃

Direct product G=N×Q with N=C₃³ and Q=C₃

		d	ρ	Label	ID
C₃⁴		81		C3^4	81,15

Semidirect products G=N:Q with N=C₃³ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁C₃ = C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃³	9	3	C3^3:1C3	81,7
C₃³⋊₂C₃ = C₃×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃³	27		C3^3:2C3	81,12

Non-split extensions G=N.Q with N=C₃³ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³.₁C₃ = C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃³	27		C3^3.1C3	81,3
C₃³.₂C₃ = C₃×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃³	27		C3^3.2C3	81,13

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Extensions 1→N→G→Q→1 with N=C33 and Q=C3