Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=Dic₅

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=Dic₅

		d	ρ	Label	ID
Dic₅×SL₂(𝔽₃)		160		Dic5xSL(2,3)	480,266

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊₁Dic₅ = Q₈⋊Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	160		SL(2,3):1Dic5	480,260
SL₂(𝔽₃)⋊₂Dic₅ = C₅⋊₂U₂(𝔽₃)	φ: Dic₅/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	120	4	SL(2,3):2Dic5	480,261

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).Dic₅ = SL₂(𝔽₃).Dic₅	φ: trivial image	160	4	SL(2,3).Dic5	480,267

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=Dic5