  The complete investigation of the permanent rotations of a gyrostat in the
integrable case of Kowalevski-Yehia is presented. The notion of equivalence
classes is given with respect to the defining parameters, the separating set is
constructed. For each class the type of a singularity is calculated as the type
of a fixed point in the reduced system. The detailed character of stability is
obtained, and the structure of local Liouville foliation is shown.
