/* www-ATLAS of Group Representations. HS represented as 49 x 49 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,49,[ "0100000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000", "0000000000000000010000000000000000000000000000000", "0000000100000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000", "0000000010000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000", "0000000000100000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000", "0000000000000000000000000000100000000000000000000", "0000000000000100000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000", "0000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000010000000000", "0000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000010000000", "0000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000100", "0000000000000000000001000000000000000000000000000", "0010200220011110022222021012121110102000010010200", "2200022210001001121221101110102222002220112120101", "0000000000000000000000010000000000000000000000000", "0201102221122021022000102120011112201110200001221", "0000000000000000000000001000000000000000000000000", "0100100222010110110102102202011010112102220110011", "0000000000000000000000000100000000000000000000000", "0201001111022120110022001220210010012221022122012", "2112001010201121222000212020212001101100210010102", "0000000000000000000000000001000000000000000000000", "2121121221112012002010020201012000201012210110020", "2001222222111202121220101011201011200002020110120", "0000000000000000000000000000010000000000000000000", "2000220022112020110200112011120202111020200121221", "0000000000000000000000000000001000000000000000000", "1202101010220111202201112222122000020001100021212", "1122220212000002211200102010212201112222022200210"]); y:=CambridgeMatrix(1,F,49,[ "0010000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000", "0200220020000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000", "1100210210000100000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000", "0000000000000000000100000000000000000000000000000", "1122110020200100000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000001000000000000000000000000", "0000000000000000000000000100000000000000000000000", "0000000000000000000000000001000000000000000000000", "0000000000000000000000000000010000000000000000000", "0000000000000000000000000000001000000000000000000", "0000000000000000000000000000000010000000000000000", "0000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000001", "1011101010202222222011210021022120202200002110120", "2112211022210212010211220100102210102221120012101", "1100200010212010012202000102120022120222011212021", "0200212220102110202022002201112022021110002210211", "1012202011120211121210000122112201201210101220120", "1201100020210210222002200221010211012210001001210", "2120202221000020002102212122212212002200001200021", "0111022120000210000021121011012121112102210111122", "1002112212120110221220022121100000201021210020211", "0212022012220111122112010121012011001022001121000", "0000001000000000000000000000000000000000000000000", "2210220220122200020211202102001100100101011101201", "1002101201010121011001111012220201211000102221200", "0021021211211222111122022212012200212110211200211", "2001200111022200222000212110201120122202001211102", "2112001100120012010000221002202001120021222222000", "1102212101202000010212100122010002001021011012221"]); G:=MatrixGroup<49,F|x,y>; print "Group G is HS < GL(49,GF(3))";