Permutation <3 2 1 10 7 5 6 4 8 9> has order 12
Permutation <4 3 2 1> has order 2
Permutation <8 1 4 2 3 7 10 5 6 9> has order 12
Permutation <1 2> has order 1
Permutation <6 4 3 2 7 8 1 5> has order 10
Permutation <1> has order 1