Extensions 1→N→G→Q→1 with N=SL₂(𝔽₅) and Q=C₄

Direct product G=N×Q with N=SL₂(𝔽₅) and Q=C₄

		d	ρ	Label	ID
C₄×SL₂(𝔽₅)		96		C4xSL(2,5)	480,222

Semidirect products G=N:Q with N=SL₂(𝔽₅) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₅)⋊₁C₄ = GL₂(𝔽₅)	φ: C₄/C₂ → C₂ ⊆ Out SL₂(𝔽₅)	24	4	SL(2,5):1C4	480,218
SL₂(𝔽₅)⋊₂C₄ = C₂².₂S₅	φ: C₄/C₂ → C₂ ⊆ Out SL₂(𝔽₅)	96		SL(2,5):2C4	480,219

Non-split extensions G=N.Q with N=SL₂(𝔽₅) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₅).C₄ = C₈.A₅	φ: trivial image	48	2	SL(2,5).C4	480,221

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Extensions 1→N→G→Q→1 with N=SL2(𝔽5) and Q=C4