Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₁₀

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₁₀

		d	ρ	Label	ID
C₁₀×SL₂(𝔽₃)		80		C10xSL(2,3)	240,153

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊C₁₀ = C₅×GL₂(𝔽₃)	φ: C₁₀/C₅ → C₂ ⊆ Out SL₂(𝔽₃)	40	2	SL(2,3):C10	240,103
SL₂(𝔽₃)⋊₂C₁₀ = C₅×C₄.A₄	φ: trivial image	80	2	SL(2,3):2C10	240,154

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₁₀ = C₅×CSU₂(𝔽₃)	φ: C₁₀/C₅ → C₂ ⊆ Out SL₂(𝔽₃)	80	2	SL(2,3).C10	240,102

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C10