/* www-ATLAS of Group Representations. G2(4) represented as 65 x 65 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,65,[ "01000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000000100000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000001000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000000000000000000", "00000000000000000000000000000000000100000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000100000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000100000000000000000000000", "00000000000000000000000000000000000000000001000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000001000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000010000000000000", "00000000000000000000001000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000000000000000000010000000", "00000000000000000000000001000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000010000", "00000000000000000000000000000000000000000000000000000000000001000", "00000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000001", "00000000000000000000000000001000000000000000000000000000000000000", "42412330403042131034001043201043414132022140124204300444430224211", "00204120134411434401132131021130433124344442301342304221023402440", "00000000000000000000000000000010000000000000000000000000000000000", "30233234343324403014441044434141430334423120014314202444040300142", "40211412414400144312140434412213410043243230024024241243301032000", "00000000000000000000000000000000100000000000000000000000000000000", "12302023421200443233134030412044111420233124310124234011020212043", "00000000000000000000000000000000010000000000000000000000000000000", "31240441314431100040340411013214003434042142214013233213311414340", "40433403020411110230244034431333330132042441441400142410303422022", "03140103220231412242011313201134334121401422141440120031342241031", "00000000000000000000000000000000000010000000000000000000000000000", "04414412413444411012131114430220023333444032323311034013434340130", "00000000000000000000000000000000000001000000000000000000000000000", "42422321020133204132143140341404024200411033030400323230130403103", "34400100103232334012213301241224444302013331314040142013441024320", "00000000000000000000000000000000000000010000000000000000000000000", "00000000000000000000000000000000000000001000000000000000000000000", "43333314221104310442240144014102310024330201040311223411134102243", "01311333342442312003442343420203020313402404234342222021103040424", "00000000000000000000000000000000000000000010000000000000000000000"]); y:=CambridgeMatrix(1,F,65,[ "00100000000000000000000000000000000000000000000000000000000000000", "04400000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "12104001000000000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000000000000000000", "00000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000001000000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000000000000000000", "00000000000000000000000000000000100000000000000000000000000000000", "00000000000000000000000000000000010000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000000000001000000000000000000000000000", "00000000000000000000000000000000000000010000000000000000000000000", "00000000000000000000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000010000000000000000000000", "00000000000000000000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000000000000010000000000000000000", "00000000000000000000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000000000000010000000000000000", "00000000000000000000000000000000000000000000000000100000000000000", "00000000000000000000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000000000000100000", "00000010000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000100", "00000000000000000000000000000000000000000000000000000000000000010", "40103303404344010110022032120123114024132332241200013233301044140", "21401113133433431233140000212013244441023110124332023103103042330", "43420321020422104000022334024431012331133300312202123230132002112", "04342431423211412122422124432012301343341400114221203233202000123", "20312000322120013300101121104302442313313323300034123203402300141", "00000000100000000000000000000000000000000000000000000000000000000", "44343410020114322244210330113002201400221201140420122404222432401", "34321142100133120020223032301131303144434333032332043120111344441", "40133410044223232413111030422344302312241013434132013434140102143", "20432321232003234210444013441123114334333302001442002043123344323", "22223110210142331430021224434340303243043043124230440103441013333", "20430143411423004341222242220012444402123321030221304044014003032", "11341233031220422013043212342240310440013320242044122340333423044", "31023240143041123322423044010022230331012032433441444323402223120", "00011133234000400043313042130121103021233414424341031223310413201", "04411411333032443233201333033114040332410332403121141122420123230", "40013342120413114031002142211333201012231203144231010024324031214", "40302240014221023413044143000330133233321110124123311404142210100", "02234222103342113224320204330430412240311332000011333240240231331", "01240342244133321112212411211204421114434413144000343411140044303", "41041324143003021243110144441111331011142222331303414122420300002", "10420244431000131002342440220143104411201320202101321323400332030", "02413142131042020214411244100240014044041133300332141443304022021"]); G:=MatrixGroup<65,F|x,y>; print "Group G is G2(4) < GL(65,GF(5))";