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

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

		d	ρ	Label	ID
C₃⁴		81		C3^4	81,15

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁C₃³ = C₃×He₃	central stem extension (φ=1)	27		C3.1C3^3	81,12
C₃.₂C₃³ = C₃×3_-¹⁺²	central stem extension (φ=1)	27		C3.2C3^3	81,13
C₃.₃C₃³ = C₉○He₃	central stem extension (φ=1)	27	3	C3.3C3^3	81,14

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