Following the experimental discovery of the superdeformed(SD) band in Zn, we calculate several low-lying SD bands in neutron-deficient 30Zn isotopes using Relativistic Mean Field model. For comparison, we also perform nonrelativistic Skyrme-Hartree-Fock calculation of the SD bands in Zn. Both models give somewhat smaller moments of inertia than the observed ones, but we can see some qualitative...