  A reflection mapping is a singular holomorphic mapping obtained by
restricting the quotient mapping of a complex reflection group. We study the
analytic structure of double point spaces of reflection mappings. In the case
where the image is a hypersurface, we obtain explicit equations for the double
point space and for the image as well. In the case of surfaces in $\C^3$, this
gives a very efficient method to compute the Milnor number and delta invariant
of the double point curve.
