Extensions 1→N→G→Q→1 with N=C₉ and Q=SL₂(F₃)

Direct product G=NxQ with N=C₉ and Q=SL₂(F₃)

		d	ρ	Label	ID
C₉xSL₂(F₃)		72	2	C9xSL(2,3)	216,38

Semidirect products G=N:Q with N=C₉ and Q=SL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:SL₂(F₃) = C₁₈.A₄	φ: SL₂(F₃)/Q₈ → C₃ ⊆ Aut C₉	72	6	C9:SL(2,3)	216,39

Non-split extensions G=N.Q with N=C₉ and Q=SL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.SL₂(F₃) = Q₈:C₂₇	central extension (φ=1)	216	2	C9.SL(2,3)	216,3

Extensions 1→N→G→Q→1 with N=C9 and Q=SL2(F3)