  In a previous paper we prove that any semisimple triangular Hopf algebra A
over an algebraically closed field of characteristic 0 (say the field of
complex numbers C) is obtained from a finite group after twisting the ordinary
comultiplication of its group algebra in the sense of Drinfeld; that is
A=C[G]^J for some finite group G and a twist J\in C[G]\ot C[G]. In this paper
we explicitly describe the representation theory of co-triangular semisimple
Hopf algebras A^*=(C[G]^J)^* in terms of representations of some associated
groups. As a corollary we prove that Kaplansky's 6th conjecture from 1975 holds
for A^*; that is that the dimension of any irreducible representation of A^*
divides the dimension of A.
