PermutationGroup<17|
\[2,3,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17],
\[1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,3]
/*order=2^14*3^6*5^3*7^2*11*13*17*/>
