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

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

		d	ρ	Label	ID
C₁₀xGL₂(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 = C₅xQ₈.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out GL₂(F₃)	80	4	GL(2,3):1C10	480,1018
GL₂(F₃):₂C₁₀ = C₅xC₄.₃S₄	φ: C₁₀/C₅ → C₂ ⊆ Out GL₂(F₃)	80	4	GL(2,3):2C10	480,1021
GL₂(F₃):₃C₁₀ = C₅xC₄.₆S₄	φ: trivial image	80	2	GL(2,3):3C10	480,1020

׿

x

:

Z

F

o

wr

Q

<