Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=D₉

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=D₉

		d	ρ	Label	ID
D₉×SL₂(𝔽₃)		72	4-	D9xSL(2,3)	432,264

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊D₉ = C₁₈.₆S₄	φ: D₉/C₉ → C₂ ⊆ Out SL₂(𝔽₃)	72	4+	SL(2,3):D9	432,253
SL₂(𝔽₃)⋊₂D₉ = Dic₉.₂A₄	φ: trivial image	144	4+	SL(2,3):2D9	432,262

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).D₉ = C₁₈.₅S₄	φ: D₉/C₉ → C₂ ⊆ Out SL₂(𝔽₃)	144	4-	SL(2,3).D9	432,252

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=D9