Extensions 1→N→G→Q→1 with N=SL₂(F₃) and Q=F₅

Direct product G=NxQ with N=SL₂(F₃) and Q=F₅

		d	ρ	Label	ID
F₅xSL₂(F₃)		40	8-	F5xSL(2,3)	480,965

Semidirect products G=N:Q with N=SL₂(F₃) and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃):₁F₅ = C₅:U₂(F₃)	φ: F₅/D₅ → C₂ ⊆ Out SL₂(F₃)	120	8+	SL(2,3):1F5	480,961
SL₂(F₃):₂F₅ = D₁₀.S₄	φ: F₅/D₅ → C₂ ⊆ Out SL₂(F₃)	40	8-	SL(2,3):2F5	480,962

Non-split extensions G=N.Q with N=SL₂(F₃) and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃).F₅ = SL₂(F₃).F₅	φ: trivial image	160	8+	SL(2,3).F5	480,964

Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=F5