PermutationGroup<19|
\[2,3,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19],
\[1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,3]
/*order=2^15*3^8*5^3*7^2*11*13*17*19*/>
