/*
www-ATLAS of Group Representations.
S23 represented as permutations on 253 points.
*/

G<x,y>:=PermutationGroup<253|\[
1,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,2,3,4,
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,44,45,46,47,48,49,50,
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,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,253]
,\[
2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,1,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,23,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,24,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,25,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,26,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,27,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,28,149,150,151,152,153,154,155,156,157,158,159,160,161,162,29,163,164,
165,166,167,168,169,170,171,172,173,174,175,30,176,177,178,179,180,181,182,183,184,185,186,187,31,
188,189,190,191,192,193,194,195,196,197,198,32,199,200,201,202,203,204,205,206,207,208,33,209,210,
211,212,213,214,215,216,217,34,218,219,220,221,222,223,224,225,35,226,227,228,229,230,231,232,36,
233,234,235,236,237,238,37,239,240,241,242,243,38,244,245,246,247,39,248,249,250,40,251,252,41,
253,42,43]
>;
print "Group G is S23 < Sym(253)";