The uniqueness of $PSU_3(8)$ in the Monster
  As a contribution to an eventual solution of the problem of determination of the maximal subgroups of the Monster we show that there is a unique conjugacy class of subgroups isomorphic to $PSU_3(8)$. The argument depends on some computations in various subgroups, but not on computations in the Monster itself. 
Robert A. Wilson
math.GR