/*
www-ATLAS of Group Representations.
S18 represented as permutations on 153 points.
*/

G<x,y>:=PermutationGroup<153|\[
1,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153]
,\[
2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,18,49,50,51,52,53,54,55,56,57,58,59,60,61,62,19,63,64,
65,66,67,68,69,70,71,72,73,74,75,20,76,77,78,79,80,81,82,83,84,85,86,87,21,
88,89,90,91,92,93,94,95,96,97,98,22,99,100,101,102,103,104,105,106,107,108,23,109,110,
111,112,113,114,115,116,117,24,118,119,120,121,122,123,124,125,25,126,127,128,129,130,131,132,26,
133,134,135,136,137,138,27,139,140,141,142,143,28,144,145,146,147,29,148,149,150,30,151,152,31,
153,32,33]
>;
print "Group G is S18 < Sym(153)";