Dear GAP Forum,
        Here are some (finite) group theoretic questions and I hope they
are not beyond the bounds of this forum. Certainly, I would expect that GAP
could help (or has already helped) provide some of the answers to these
questions. Also, I believe this forum to be the best location to find
those who might know the answers.
        Please direct e-mail responses to Ruvain Gittelman at:
gittelma@math.berkeley.edu
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1) What is the largest integer n such that ALL groups of order less than n
   are known? Where is this information to be found?
                                                        n
2) What is the largest n such that all groups of order 2  are known?
   Same for odd primes.

3) What is known about the automorphism group towers of finite groups which
   may have nontrivial center? Are groups whose tower terminates in {e} known?
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