orders:=
[ 198404640, 9447840, 1574640, 419904, 174960, 116640, 136080, 362880, 9447840, 2099520, 349920, 209952, 69984, 69984, 23328, 
  38880, 12960, 38880, 12960, 90720, 30240, 1049760, 46656, 34992, 104976, 5832, 8748, 23328, 2592, 3888, 19440, 2160, 3240, 
  38880, 4320, 6480, 349920, 23328, 3888, 11664, 3888, 2592, 648, 3888, 31104, 1296, 1728, 432, 2592, 25920, 2160, 2880, 720, 
  4320, 1296, 1296, 1296, 648, 216, 324, 3456, 864, 432, 288, 432, 1728, 432, 3888, 216, 648, 432, 144, 576 ];