Marty Isaacs asks: From: isaacs@math.wisc.edu Resent-Date: Wed, 19 Jul 95 18:51:16 BST Inspired by Problem 4 and some of the commentary on it, I ask if any of the GAP or Magma people can throw any light on how often character tables can distinguish otherwise very similar groups. Specifically, I wonder how many different character tables there are for the tens of thousands of different groups of order 2^8. What is the average number of different groups for a given table; what is the maximum number? I would also be interested in the answer when the character tables are augmented by the power maps. ____