/*
www-ATLAS of Group Representations.
2.L3(4) represented as 36 x 36 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000100000000000000000000000000000",
"001000000000000000000000000000000000",
"000000000100000000000000000000000000",
"000100000000000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000001000000000000000000000000000000",
"000000000000001000000000000000000000",
"000000010000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000000000000100000000000000000",
"000000000010000000000000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000010000000000000000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"000000000000000100000000000000000000",
"000000000000000000000000000000000100",
"000000000000000010000000000000000000",
"000000000000000000000000000000000001",
"000000000000000001000000000000000000",
"020110200001120001220011212220220020",
"102201101202110011120021102200110010",
"000000000000000000010000000000000000",
"121022020121001201012100120021100002",
"000000000000000000001000000000000000",
"122211112212122221110111220020010201",
"202122201111002220110102121200221121",
"000000000000000000000010000000000000",
"020011001221001111102220111210020201",
"000000000000000000000000100000000000"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000001000000000000000000000000000",
"100210012000000000000000000000000000",
"000000000010000000000000000000000000",
"122022011000000000000000000000000000",
"020022002000000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000100000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000010000",
"000000000000000000000000000000001000",
"000000100000000000000000000000000000",
"000000000000000000000000000000000010",
"111021211200220102102112120012021100",
"021110221210121010212022002120020100",
"000210110011101122110222210112202220",
"212212020101100110012111001110200022",
"121100120101202001000210202021012000",
"000000000100000000000000000000000000",
"120010122222120002201111101110121021",
"212212120002010010220111202102200020",
"222120111100100100010200001020000002",
"202122111222222121000201212102202001",
"121201011211021210212002000111220021",
"120012022021201120101011021122120112"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 2.L3(4) < GL(36,GF(3))";