Finite group modular data

The modular data associated to finite groups is remarkably ubiquitous. And yet, compared to the well-understood affine algebra modular data, the gener al properties of this finite group modular data has been poorly explored. I n this paper we undergo such a study. We identify some senses in which the finite group data is similar to, and different from, the affine data. We al so consider the data arising from a cohomological twist, and write down, ex plicitly in terms of quantities associated directly with the finite group, the modular S and T matrices for a general twist, for what appears to be th e first time in print. (C) 2000 Elsevier Science B.V. All rights reserved.