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

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