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

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

		d	ρ	Label	ID
C₂²×SL₂(𝔽₅)		96		C2^2xSL(2,5)	480,960

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₅))⋊₁C₂ = D₄.A₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₅)	48	4-	(C2xSL(2,5)):1C2	480,957
(C₂×SL₂(𝔽₅))⋊₂C₂ = C₂×C₂.S₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₅)	80		(C2xSL(2,5)):2C2	480,950
(C₂×SL₂(𝔽₅))⋊₃C₂ = C₂².S₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₅)	48	4-	(C2xSL(2,5)):3C2	480,953
(C₂×SL₂(𝔽₅))⋊₄C₂ = C₂×C₄.A₅	φ: trivial image	48		(C2xSL(2,5)):4C2	480,955

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₅)).₁C₂ = C₂².₂S₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₅)	96		(C2xSL(2,5)).1C2	480,219
(C₂×SL₂(𝔽₅)).₂C₂ = C₂×CSU₂(𝔽₅)	φ: C₂/C₁ → C₂ ⊆ Out C₂×SL₂(𝔽₅)	96		(C2xSL(2,5)).2C2	480,949
(C₂×SL₂(𝔽₅)).₃C₂ = C₄×SL₂(𝔽₅)	φ: trivial image	96		(C2xSL(2,5)).3C2	480,222

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