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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊₁(C₂×C₁₀) = C₁₀×GL₂(𝔽₃)	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	80		SL(2,3):1(C2xC10)	480,1017
SL₂(𝔽₃)⋊₂(C₂×C₁₀) = C₅×C₄.₃S₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	80	4	SL(2,3):2(C2xC10)	480,1021
SL₂(𝔽₃)⋊₃(C₂×C₁₀) = C₁₀×C₄.A₄	φ: trivial image	160		SL(2,3):3(C2xC10)	480,1130
SL₂(𝔽₃)⋊₄(C₂×C₁₀) = C₅×Q₈.A₄	φ: trivial image	120	4	SL(2,3):4(C2xC10)	480,1131

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).₁(C₂×C₁₀) = C₁₀×CSU₂(𝔽₃)	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	160		SL(2,3).1(C2xC10)	480,1016
SL₂(𝔽₃).₂(C₂×C₁₀) = C₅×Q₈.D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	80	4	SL(2,3).2(C2xC10)	480,1018
SL₂(𝔽₃).₃(C₂×C₁₀) = C₅×C₄.S₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	160	4	SL(2,3).3(C2xC10)	480,1019
SL₂(𝔽₃).₄(C₂×C₁₀) = C₅×C₄.₆S₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out SL₂(𝔽₃)	80	2	SL(2,3).4(C2xC10)	480,1020
SL₂(𝔽₃).₅(C₂×C₁₀) = C₅×D₄.A₄	φ: trivial image	80	4	SL(2,3).5(C2xC10)	480,1132

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