#The group is S_4, and the subgroup H of order 4.
#There are 30 reduced words - 24 for the group elements, and 6 for the
#6 cosets Hg.
_RWS := rec(
  isRWS := true,
  ordering := "shortlex",
  generatorOrder := [H,a,A,b,B],
  inverses := [,A,a,B,b],
  equations := [
    [a^3,IdWord], [b^4,IdWord], [a*b*a*b,IdWord], [H*b,H],
    [H*H,H], [a*H,H], [b*H,H]
  ]
);
