DCEHOrbits(universe)
This function  determines  the orbits  of H,   as  unions of orbits  of
M=H cap  K. Various  additions   are made  to  the data   structures  in
universe, which  are   described   in   detail elsewhere.    The   most
comprehensible field  is  u.orbsizes which gives  the  number of points
(single cosets) in the orbits.
GAP 3.4.4