|<gens>| = 29120 (expected 29120)
|normal closure of commutators of generators| = 29120 (perfect iff 29120)
classes: 11 with sizes [1, 1820, 455, 4160, 1820, 5824, 4160, 2240, 2240, 4160, 2240] (sum 29120)
  class rep of order 4, class size 1820: max tail 11
  class rep of order 2, class size 455: max tail 2
  class rep of order 7, class size 4160: max tail 56
  class rep of order 4, class size 1820: max tail 8
  class rep of order 5, class size 5824: max tail 62
  class rep of order 7, class size 4160: max tail 56
  class rep of order 13, class size 2240: max tail 27
  class rep of order 13, class size 2240: max tail 27
  class rep of order 7, class size 4160: max tail 56
  class rep of order 13, class size 2240: max tail 27
mu(Sz(8)) = 62
