  We obtain multi-soliton solutions with discrete symmetries in the chiral
quark soliton model using the rational map ansatz. The solutions exhibit
degenerate bound spectra of the quark orbits depending on the background of
pion field configurations. It is shown that resultant baryon densities inherit
the same discrete symmetries as the chiral fields. Evaluating the radial
component of the baryon density, shell-like structure of the valence quark
spectra is also observed.
