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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₂×SL₂(𝔽₃)) = C₂×D₅×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₁₀	80		C10:(C2xSL(2,3))	480,1039

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₂×SL₂(𝔽₃)) = Dic₅×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₁₀	160		C10.(C2xSL(2,3))	480,266
C₁₀.₂(C₂×SL₂(𝔽₃)) = C₂₀×SL₂(𝔽₃)	central extension (φ=1)	160		C10.2(C2xSL(2,3))	480,655

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