Extensions 1→N→G→Q→1 with N=GL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=GL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₂×GL₂(𝔽₃)		16		C2xGL(2,3)	96,189

Semidirect products G=N:Q with N=GL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(𝔽₃)⋊₁C₂ = Q₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out GL₂(𝔽₃)	16	4-	GL(2,3):1C2	96,190
GL₂(𝔽₃)⋊₂C₂ = C₄.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out GL₂(𝔽₃)	16	4+	GL(2,3):2C2	96,193
GL₂(𝔽₃)⋊₃C₂ = C₄.₆S₄	φ: trivial image	16	2	GL(2,3):3C2	96,192

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