Extensions 1→N→G→Q→1 with N=C₂×SL₂(𝔽₃) and Q=C₁₀

Direct product G=N×Q with N=C₂×SL₂(𝔽₃) and Q=C₁₀

		d	ρ	Label	ID
C₂×C₁₀×SL₂(𝔽₃)		160		C2xC10xSL(2,3)	480,1128

Semidirect products G=N:Q with N=C₂×SL₂(𝔽₃) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃))⋊₁C₁₀ = C₅×D₄.A₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	80	4	(C2xSL(2,3)):1C10	480,1132
(C₂×SL₂(𝔽₃))⋊₂C₁₀ = C₁₀×GL₂(𝔽₃)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	80		(C2xSL(2,3)):2C10	480,1017
(C₂×SL₂(𝔽₃))⋊₃C₁₀ = C₅×Q₈.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	80	4	(C2xSL(2,3)):3C10	480,1018
(C₂×SL₂(𝔽₃))⋊₄C₁₀ = C₁₀×C₄.A₄	φ: trivial image	160		(C2xSL(2,3)):4C10	480,1130

Non-split extensions G=N.Q with N=C₂×SL₂(𝔽₃) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃)).₁C₁₀ = C₅×Q₈⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	160		(C2xSL(2,3)).1C10	480,256
(C₂×SL₂(𝔽₃)).₂C₁₀ = C₁₀×CSU₂(𝔽₃)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	160		(C2xSL(2,3)).2C10	480,1016
(C₂×SL₂(𝔽₃)).₃C₁₀ = C₂₀×SL₂(𝔽₃)	φ: trivial image	160		(C2xSL(2,3)).3C10	480,655

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