/*
www-ATLAS of Group Representations.
2.S11 represented as 32 x 32 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00001000000000000000000000000000",
"00000010000000000000000000000000",
"00100000000000000000000000000000",
"00000000010000000000000000000000",
"00010000000000000000000000000000",
"00000000000010000000000000000000",
"00000000000000100000000000000000",
"00000100000000000000000000000000",
"00000000000000001000000000000000",
"00000000000000000010000000000000",
"00000001000000000000000000000000",
"00000000000000000000010000000000",
"00000000100000000000000000000000",
"00000000000000000000000010000000",
"00000000001000000000000000000000",
"00000000000000000000000000010000",
"00000000000100000000000000000000",
"00000000000000000000000000000010",
"43340240422003042043244143043423",
"00000000000001000000000000000000",
"20123144034414041431204204211444",
"04441432013222142103212420041123",
"00000000000000010000000000000000",
"01233040140431242242132100034000",
"14443243022213400022331113343111",
"00000000000000000100000000000000",
"42214233140441211243314400421344",
"32222013232330314020323224114301",
"00000000000000000001000000000000",
"43220032104422231410113114201313"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"00010000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000100000000000000000000000",
"00000000001000000000000000000000",
"00000000000100000000000000000000",
"00000000000001000000000000000000",
"04404400400000000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000000000000000000100000",
"00000000000000000000000000001000",
"00000000000000000000000000000100",
"00000000000000000000000000000001",
"13400012211330210013313340413023",
"33412133123103212432201222341000",
"23100404234243314201423321232404",
"01002114012104304111210204221313",
"24422103321114202014014310023033",
"24214313004340001443441024420203",
"13000012211041042033133300142240",
"23241401430443110434120210012424",
"04323011004203011434003223303344",
"04044131214240202442140342020334",
"41223112422220341433114233413430",
"31242130003212220304320102042132"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is 2.S11 < GL(32,GF(5))";