Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=D₅

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=D₅

		d	ρ	Label	ID
D₅×SL₂(𝔽₃)		40	4-	D5xSL(2,3)	240,109

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊D₅ = Q₈⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Out SL₂(𝔽₃)	40	4+	SL(2,3):D5	240,106
SL₂(𝔽₃)⋊₂D₅ = Dic₅.A₄	φ: trivial image	80	4+	SL(2,3):2D5	240,108

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).D₅ = Q₈.D₁₅	φ: D₅/C₅ → C₂ ⊆ Out SL₂(𝔽₃)	80	4-	SL(2,3).D5	240,105

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=D5