/*
www-ATLAS of Group Representations.
L3(4) represented as permutations on 280 points.
*/

G<x,y>:=PermutationGroup<280|\[
2,1,5,7,3,10,4,13,15,6,18,20,8,23,9,26,28,11,22,12,31,19,14,34,36,
16,27,17,41,43,21,44,45,24,48,25,51,53,54,56,29,59,30,32,33,63,66,35,69,71,
37,73,38,39,74,40,76,78,42,81,64,82,46,61,85,47,87,89,49,92,50,94,52,55,99,
57,93,58,102,104,60,62,88,103,65,110,67,83,68,115,117,70,77,72,120,122,123,125,75,128,
130,79,84,80,135,136,138,139,141,86,144,146,147,116,90,114,91,150,151,95,124,96,97,121,98,
157,159,100,131,101,129,158,154,163,105,106,167,107,108,172,109,174,175,111,177,112,113,178,179,118,
119,183,185,133,186,188,126,132,127,192,193,194,134,196,197,198,137,199,181,190,202,140,203,142,143,
207,145,148,149,180,169,213,152,184,153,155,187,156,218,170,191,160,161,162,224,164,165,166,168,222,
209,171,173,234,236,206,176,239,201,241,242,238,182,244,245,246,247,189,249,250,251,200,240,195,225,
253,255,256,257,252,237,258,259,204,262,205,231,212,208,223,210,211,248,214,215,216,217,243,219,220,
221,230,226,273,227,228,229,232,233,275,264,235,268,261,278,279,277,263,272,276,274,269,254,271,260,
270,267,265,266,280]
,\[
1,3,6,2,8,4,11,14,5,16,19,7,21,9,24,27,10,29,12,23,32,13,33,35,15,
37,17,39,42,18,20,22,31,46,25,49,52,26,55,28,57,30,60,62,64,54,34,67,70,36,
71,38,61,47,40,75,77,41,79,53,43,83,44,84,45,81,88,48,90,50,93,51,95,97,92,
56,58,100,103,59,105,106,63,65,108,66,111,68,113,116,69,76,72,118,121,73,124,74,126,129,
78,131,80,133,86,137,82,140,85,142,145,87,148,89,115,91,149,147,94,152,96,154,146,98,155,
158,99,159,101,130,161,102,162,104,164,141,107,168,170,109,173,172,110,175,112,123,119,114,180,117,
181,184,120,122,187,125,189,127,191,128,132,134,195,167,135,136,165,200,138,201,139,143,166,204,206,
144,208,209,211,150,212,151,213,153,215,216,156,217,219,157,160,199,221,177,225,163,226,228,230,169,
171,179,232,235,174,176,237,223,240,178,231,182,243,183,186,185,248,188,190,192,239,193,194,249,196,
254,197,241,198,220,202,251,203,260,205,263,265,207,222,210,229,256,214,259,268,246,266,218,270,267,
233,224,271,227,274,247,275,261,250,258,234,276,277,236,238,242,244,280,245,252,279,253,262,257,255,
278,264,273,272,269]
>;
print "Group G is L3(4) < Sym(280)";