// set up group and candidate generating shuffles

//Example 1
//G := SymmetricGroup(5);
//t1 := G!(1,2); t2 := G!(2,3); t3 := G!(3,4); t4 := G!(4,5); H := sub<G|[t1,t2,t3,t4]>;

//Example 2
//G := SymmetricGroup(8);
//a := G!(1,2); b := G!(1,2,3,4,5,6,7,8); H := sub<G|a,b>;

//Example 3
G := SymmetricGroup(8);
a := G!(1,2,3); b := G!(1,2,3,4,5,6,7); H := sub<G|a,b>;


print #G/#H;