/* www-ATLAS of Group Representations. G2(3) represented as 49 x 49 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,49,[ "0100000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000", "0000000000100000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000", "0000000000001000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000000100000000000000000000000", "0000000000000001000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000", "0000000000000000010000000000000000000000000000000", "0000000000000000001000000000000000000000000000000", "0000000000000000000000000000000010000000000000000", "0000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000010000000000000", "0000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000010000000", "0000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000010000", "0000000000000000000000000010000000000000000000000", "0000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000001", "0000000000000000000000000000010000000000000000000", "0000000000000000000000000000001000000000000000000", "2220201010102102202222022222202020222002200000020", "0000000000000000000000000000000100000000000000000", "2211002011001111100211211000000221010022202122011", "2101001001121120010212100200121121201100111222020", "0000000000000000000000000000000001000000000000000", "0200212100102211102122202212011222000212001110022", "0200221220112110222212200222002101101012102221112", "0000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000100000000000"]); y:=CambridgeMatrix(1,F,49,[ "0010000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000", "1201000000000000000000000000000000000000000000000", "1021000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000", "2002202000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000", "0000000000000000001000000000000000000000000000000", "0000000000000000000100000000000000000000000000000", "0000000010000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000", "0000000001000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000", "0000000000000000000000000010000000000000000000000", "0000000000000000000000000001000000000000000000000", "0000000000000000000000000000010000000000000000000", "0000000000000000000000000000001000000000000000000", "0000000000000000000000000000000100000000000000000", "0000000000000100000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000", "0000000000000010000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000100000000000", "0000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000001000", "0201010101120120221202002201210212112202122012000", "0000000000000000000000000000000000000000000000100", "0000000000000000000010000000000000000000000000000", "1020010012002122221221011010010220021102000002010", "2122122010110010220121022122000012110221202121212", "1121020220012220200102022022211011102212011212122", "0000000000000000000000100000000000000000000000000", "0122112112122121201220102012211011201222212011021", "0000000000000000000000010000000000000000000000000", "1110020110112010100020222222101021110110202020122", "2112122111220211021122012012012122002202010102020", "0000000000000000000000000100000000000000000000000", "2022201102210002222021220201220100212021020220121", "1022010122001021221002010120021021111110012010212", "0110221222001210002212120101112020011001122111211"]); G:=MatrixGroup<49,F|x,y>; print "Group G is G2(3) < GL(49,GF(3))";