Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃³

Direct product G=N×Q with N=C₉ and Q=C₃³

		d	ρ	Label	ID
C₃³×C₉		243		C3^3xC9	243,61

Semidirect products G=N:Q with N=C₉ and Q=C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊C₃³ = C₃²×3_-¹⁺²	φ: C₃³/C₃² → C₃ ⊆ Aut C₉	81		C9:C3^3	243,63

Non-split extensions G=N.Q with N=C₉ and Q=C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁C₃³ = C₃×C₉○He₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₉	81		C9.1C3^3	243,64
C₉.₂C₃³ = 3_-¹⁺⁴	φ: C₃³/C₃² → C₃ ⊆ Aut C₉	27	9	C9.2C3^3	243,66
C₉.₃C₃³ = C₃×C₂₇⋊C₃	central extension (φ=1)	81		C9.3C3^3	243,49
C₉.₄C₃³ = C₂₇○He₃	central extension (φ=1)	81	3	C9.4C3^3	243,50

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Extensions 1→N→G→Q→1 with N=C9 and Q=C33