  In the author's paper ''Poincar\'{e} series and monodromy of a
two-dimensional quasihomogeneous hypersurface singularity'' a relation is
proved between the Poincar\'{e} series of the coordinate algebra of a
two-dimensional quasihomogeneous isolated hypersurface singularity and the
characteristic polynomial of its monodromy operator. We study this relation for
Fuchsian singularities and show that it is connected with the mirror symmetry
of K3 surfaces and with automorphisms of the Leech lattice. We also indicate
relations between other singularities and Conway's group.
