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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊SL₂(𝔽₃) = C₅×Q₈⋊A₄	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂×C₁₀	120	6	(C2xC10):SL(2,3)	480,1133

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).SL₂(𝔽₃) = C₅×C₂³.₃A₄	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₂×C₁₀	60	6	(C2xC10).SL(2,3)	480,74

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