  A symmetry classification is performed for a class of differential-difference
equations depending on 9 parameters. A 6-parameter subclass of these equations
is an integrable discretization of the Krichever-Novikov equation. The
dimension $n$ of the Lie point symmetry algebra satisfies $1 \le n \le 5$. The
highest dimensions, namely $n=5$ and $n=4$ occur only in the integrable cases.
