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.


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