Extensions 1→N→G→Q→1 with N=GL₂(𝔽₃) and Q=C₆

Direct product G=N×Q with N=GL₂(𝔽₃) and Q=C₆

		d	ρ	Label	ID
C₆×GL₂(𝔽₃)		48		C6xGL(2,3)	288,900

Semidirect products G=N:Q with N=GL₂(𝔽₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(𝔽₃)⋊₁C₆ = C₃×Q₈.D₆	φ: C₆/C₃ → C₂ ⊆ Out GL₂(𝔽₃)	48	4	GL(2,3):1C6	288,901
GL₂(𝔽₃)⋊₂C₆ = C₃×C₄.₃S₄	φ: C₆/C₃ → C₂ ⊆ Out GL₂(𝔽₃)	48	4	GL(2,3):2C6	288,904
GL₂(𝔽₃)⋊₃C₆ = C₃×C₄.₆S₄	φ: trivial image	48	2	GL(2,3):3C6	288,903

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