  A determinant formula for a class of algebraic solutions to Painlev\'e VI
equation (P$_{\rm VI}$) is presented. This expression is regarded as a special
case of the universal characters. The entries of the determinant are given by
the Jacobi polynomials. Degeneration to the rational solutions of P$_{\rm V}$
and P$_{\rm III}$ is discussed by applying the coalescence procedure.
Relationship between Umemura polynomials associated with P$_{\rm VI}$ and our
formula is also discussed.
