Extensions 1→N→G→Q→1 with N=GL₂(𝔽₃) and Q=C₁₀

Direct product G=N×Q with N=GL₂(𝔽₃) and Q=C₁₀

		d	ρ	Label	ID
C₁₀×GL₂(𝔽₃)		80		C10xGL(2,3)	480,1017

Semidirect products G=N:Q with N=GL₂(𝔽₃) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(𝔽₃)⋊₁C₁₀ = C₅×Q₈.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out GL₂(𝔽₃)	80	4	GL(2,3):1C10	480,1018
GL₂(𝔽₃)⋊₂C₁₀ = C₅×C₄.₃S₄	φ: C₁₀/C₅ → C₂ ⊆ Out GL₂(𝔽₃)	80	4	GL(2,3):2C10	480,1021
GL₂(𝔽₃)⋊₃C₁₀ = C₅×C₄.₆S₄	φ: trivial image	80	2	GL(2,3):3C10	480,1020

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