Extensions 1→N→G→Q→1 with N=SL₂(𝔽₅) and Q=C₂

Direct product G=N×Q with N=SL₂(𝔽₅) and Q=C₂

		d	ρ	Label	ID
C₂×SL₂(𝔽₅)		48		C2xSL(2,5)	240,94

Semidirect products G=N:Q with N=SL₂(𝔽₅) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₅)⋊C₂ = C₂.S₅	φ: C₂/C₁ → C₂ ⊆ Out SL₂(𝔽₅)	40	4-	SL(2,5):C2	240,90
SL₂(𝔽₅)⋊₂C₂ = C₄.A₅	φ: trivial image	24	2	SL(2,5):2C2	240,93

Non-split extensions G=N.Q with N=SL₂(𝔽₅) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₅).C₂ = CSU₂(𝔽₅)	φ: C₂/C₁ → C₂ ⊆ Out SL₂(𝔽₅)	48	4-	SL(2,5).C2	240,89

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Extensions 1→N→G→Q→1 with N=SL2(𝔽5) and Q=C2