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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁C₉ = C₃³⋊C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₃³	27		C3^3:1C9	243,13
C₃³⋊₂C₉ = C₃×C₃²⋊C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₃³	81		C3^3:2C9	243,32

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³.₁C₉ = C₃²⋊C₂₇	φ: C₉/C₃ → C₃ ⊆ Aut C₃³	81		C3^3.1C9	243,12
C₃³.₂C₉ = C₉.₄He₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃³	27	3	C3^3.2C9	243,16
C₃³.₃C₉ = C₃×C₂₇⋊C₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃³	81		C3^3.3C9	243,49

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