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

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

		d	ρ	Label	ID
C₃×AΓL₁(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)/S₃≀C₂ → 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

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