Hi, i am trying to find cosets of S_3 in Maple. I have done this so far: > restart; > with(group); > S_3 := permgroup(3, {[[1, 2]], [[1, 2, 3]], [[2, 3]], [[1, 3]], [[1, 3, 2]]}); permgroup(3, {[[1, 2]], [[1, 2, 3]], [[2, 3]], [[1, 3]], [[1, 3, 2]]}) > grouporder(S[3], ident); Error, (in group:-grouporder) expecting a permgroup or a grelgroup, but received S[3] > Group order should be 6 (which is 3!) but for some reason it does not work. Also I am getting an error message when I try to find cosets of S_3. > ident := permgroup*(3, {[]}); > cosets(S_3, ident);