  The gravitational and electromagnetic multipole moments of the charged
rotating disc of dust, which is an axisymmetric, stationary solution of the
Einstein-Maxwell equations in terms of a post-Newtonian expansion, are
calculated and discussed. It turns out that the individual mass, angular
momentum, electric and magnetic moments are ordered in the sense that higher
moments have a lower absolute value. There is an interesting conjecture stating
that the absolute values of all higher multipole moments of a uniformly
rotating perfect fluid body are always greater than those of the corresponding
Kerr spacetime, which we generalize to include charged bodies. We find that for
the charged rotating disc of dust the conjecture holds (within the limits of
accuracy of the post-Newtonian expansion).
