orders:=
[ 9447840, 524880, 104976, 34992, 19440, 19440, 45360, 524880, 139968, 23328, 17496, 5832, 7776, 2592, 6480, 2160, 12960, 4320, 
  69984, 3888, 2916, 11664, 648, 972, 3888, 432, 648, 6480, 720, 1080, 29160, 2592, 432, 1296, 648, 432, 108, 648, 10368, 432, 
  576, 144, 864, 216, 216, 432, 216, 72, 108, 576, 144 ];