Extensions 1→N→G→Q→1 with N=C₃ and Q=AΓL₁(F₉)

Direct product G=NxQ with N=C₃ and Q=AΓL₁(F₉)

		d	ρ	Label	ID
C₃xAΓL₁(F₉)		24	8	C3xAGammaL(1,9)	432,737

Semidirect products G=N:Q with N=C₃ and Q=AΓL₁(F₉)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁AΓL₁(F₉) = F₉:S₃	φ: AΓL₁(F₉)/F₉ → C₂ ⊆ Aut C₃	24	16+	C3:1AGammaL(1,9)	432,740
C₃:₂AΓL₁(F₉) = C₃³:SD₁₆	φ: AΓL₁(F₉)/S₃wrC₂ → C₂ ⊆ Aut C₃	24	8	C3:2AGammaL(1,9)	432,738
C₃:₃AΓL₁(F₉) = C₃³:₃SD₁₆	φ: AΓL₁(F₉)/PSU₃(F₂) → C₂ ⊆ Aut C₃	24	16+	C3:3AGammaL(1,9)	432,739

Non-split extensions G=N.Q with N=C₃ and Q=AΓL₁(F₉)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.AΓL₁(F₉) = He₃:SD₁₆	φ: AΓL₁(F₉)/PSU₃(F₂) → C₂ ⊆ Aut C₃	27	6+	C3.AGammaL(1,9)	432,520

Extensions 1→N→G→Q→1 with N=C3 and Q=AΓL1(F9)