  We consider a $(7 + k)$-dimensional Einstein-Gauss-Bonnet model with the
cosmological $\Lambda$-term. A cosmological model with three factor spaces of
dimensions $3$, $3$ and $k$, $k > 2$ is considered. Exact stable solutions with
three (non-coinciding) Hubble-like parameters in this model are obtained. Some
examples of solutions (e.g. with zero variation of the effective gravitational
constant $G$) are considered in selected dimensions (for $k = 5, 6$).
