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

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

		d	ρ	Label	ID
C₃³xC₉		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 = C₃xC₃²: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 = C₃xC₂₇:C₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃³	81		C3^3.3C9	243,49

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