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

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

		d	ρ	Label	ID
C₉×SL₂(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

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