/*
www-ATLAS of Group Representations.
3.L3(4) represented as permutations on 360 points.
*/

G<x,y>:=PermutationGroup<360|\[
1,6,3,11,5,2,17,14,16,20,4,23,24,8,21,9,7,31,33,10,15,38,12,13,44,
41,43,34,37,47,18,52,19,28,55,56,29,22,60,61,26,66,27,25,69,71,30,76,73,75,
79,32,72,81,35,36,86,87,90,39,40,96,93,95,99,42,102,103,45,108,46,53,49,112,50,
48,115,116,51,118,54,121,123,124,127,57,58,132,131,59,92,91,63,137,64,62,140,142,65,145,
101,67,68,125,150,152,155,70,158,159,160,74,163,141,77,78,166,80,169,171,82,174,83,84,104,
178,85,182,129,185,89,88,187,188,176,157,94,190,191,97,114,98,162,144,100,199,198,148,201,105,
151,106,170,179,107,208,136,109,110,111,214,143,113,194,195,117,186,219,119,153,120,172,211,122,224,
135,226,126,154,180,230,128,232,184,130,167,133,134,236,138,139,239,241,164,165,242,218,147,146,246,
149,249,245,248,205,206,252,156,256,255,173,258,259,161,234,260,261,197,168,262,221,264,265,175,267,
177,247,268,229,181,254,183,270,215,271,189,274,275,192,280,193,196,257,283,203,200,227,204,202,286,
288,207,290,231,210,209,243,212,213,216,217,220,287,222,223,294,225,228,298,233,235,301,304,237,238,
276,307,309,312,240,315,316,244,318,319,250,263,251,317,253,323,324,326,266,329,331,302,269,333,334,
272,297,335,273,306,305,277,308,278,310,311,279,313,327,281,282,289,284,285,325,344,330,291,292,320,
293,314,346,295,322,296,336,299,300,303,332,349,350,339,340,341,351,343,321,352,328,353,354,337,338,
342,345,347,348,357,360,355,359,358,356]
,\[
2,7,8,1,9,13,4,18,19,3,21,5,25,26,6,27,30,10,12,34,36,11,37,40,15,
45,46,14,16,48,49,17,50,54,20,22,57,58,23,62,63,24,64,68,28,29,72,32,77,78,
31,80,33,35,82,84,39,88,38,89,92,42,97,98,41,100,43,104,105,44,106,110,52,47,79,
114,51,53,117,111,119,122,55,125,56,126,129,59,133,134,60,135,90,61,123,139,65,67,143,146,
66,147,149,70,153,154,69,156,71,74,73,161,75,76,164,165,113,167,170,81,172,83,175,176,85,
179,180,86,183,87,184,141,91,136,94,93,158,95,132,192,96,193,196,99,163,101,200,102,202,203,
103,204,107,109,207,209,108,210,211,213,215,112,216,115,116,185,218,118,188,120,221,223,121,194,138,
225,124,224,128,228,127,229,130,233,234,131,195,235,137,155,238,174,187,140,142,144,145,160,244,148,
246,151,250,251,150,152,237,253,157,189,257,159,243,214,162,197,166,168,219,169,263,171,173,266,177,
245,178,181,269,252,182,254,186,217,220,272,190,276,277,191,278,282,198,226,199,284,201,242,285,205,
206,289,232,208,291,292,212,258,259,260,261,248,222,255,230,227,295,288,231,264,299,302,236,303,306,
240,310,311,239,313,241,262,317,247,320,321,249,322,265,318,270,325,256,327,330,267,268,286,319,271,
301,273,336,337,274,338,304,275,326,279,281,341,342,280,343,323,283,290,300,287,332,297,316,324,293,
345,344,294,312,296,331,298,315,334,335,305,339,308,307,309,347,314,348,328,340,346,329,333,355,356,
352,358,350,349,360,359,351,357,353,354]
>;
print "Group G is 3.L3(4) < Sym(360)";