PermutationGroup<50|
\[1,2,16,7,10,22,20,34,3,28,18,40,6,32,37,9,39,38,24,4,
41,13,8,35,45,26,25,5,50,29,21,36,12,23,19,14,44,11,43,
33,31,46,17,15,27,48,47,42,49,30],
\[25,27,17,43,21,38,18,24,7,32,46,31,22,23,35,41,19,44,5,
4,3,36,29,42,13,47,20,6,48,9,37,50,39,49,28,1,34,15,8,
14,10,33,2,30,11,26,45,40,12,16]
/*order=126000=2^4*3^2*5^3*7*/>
