/*
www-ATLAS of Group Representations.
S19 represented as permutations on 171 points.
*/

G<x,y>:=PermutationGroup<171|\[
1,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
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,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171]
,\[
2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,1,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,19,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
20,67,68,69,70,71,72,73,74,75,76,77,78,79,80,21,81,82,83,84,85,86,87,88,89,
90,91,92,93,22,94,95,96,97,98,99,100,101,102,103,104,105,23,106,107,108,109,110,111,112,
113,114,115,116,24,117,118,119,120,121,122,123,124,125,126,25,127,128,129,130,131,132,133,134,135,
26,136,137,138,139,140,141,142,143,27,144,145,146,147,148,149,150,28,151,152,153,154,155,156,29,
157,158,159,160,161,30,162,163,164,165,31,166,167,168,32,169,170,33,171,34,35]
>;
print "Group G is S19 < Sym(171)";