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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 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 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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