Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₂₀

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₂₀

		d	ρ	Label	ID
C₂₀×SL₂(𝔽₃)		160		C20xSL(2,3)	480,655

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊₁C₂₀ = C₅×Q₈⋊Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	160		SL(2,3):1C20	480,256
SL₂(𝔽₃)⋊₂C₂₀ = C₅×U₂(𝔽₃)	φ: C₂₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	120	2	SL(2,3):2C20	480,257

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₂₀ = C₅×C₈.A₄	φ: trivial image	160	2	SL(2,3).C20	480,660

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C20