/* www-ATLAS of Group Representations. G2(4) represented as 84 x 84 matrices over GF(4). */ F:=GF(4); x:=CambridgeMatrix(1,F,84,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000000000", 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"000000000000000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "032212312023300101222122012311323122121303002113301220201331210200133321000023233310", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "310012033030010200113222331330132220231110101223002030301111000033220102222012220022", "020101202211030330100321010220121233230130203300211301111023310321000022132031012111", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "320003221031302310303313311303222323031212333310323032121131121300101331102231023120", "202130332230101231303112332130311302133130102331201332102301310210301332023111233322", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "213020033122010311311103302230202223032332100222122220201231321100013301021120311330", "113322002031330322112222310330103333300023110102311001201320310312321132002300302331", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "003203303031203112231120300132301132230222230220101210223221132022321101330332313203", "000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "113331233123302311322210130233011023013001211000122201022000321323112311100003313032", "020100213310003010123100131232020110113313300322323131023202112020233031320301132110", "000000000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "223000123312310200101123100003111031103220032013312333333132011210203323033321120021", "000133133121012303102033211032212310323300030333001332112111210112030032103312022122", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000", "223310312033021301120333100102132322320121301321233232320323113021333033212221021310", "320223212003111110213131110002022303022103023022322033113330230300133012001320323323", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "203221211030333133021010023333020211300000321232223303210011132330133013021023223231", "000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "013120230023022001200201020211121230323231321112220111103023032302332300100001113233", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000"]); y:=CambridgeMatrix(1,F,84,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "011000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000", "101010010000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000010", "002313321331120312120021300103100113000032010203103101013201212131202030233333220120", "123202303230332132300311321232200020230102122200213333110003103222032203331310333231", "011001221111103201100022100333323110312321023232021010333123013212331301313002112233", "320021302301133220221013112113002110113203331321232013123100113113331002311311133212", "102311123322120000130331133012333111222001000021322122020231311021330131033111122331", "331000033023212210200121200121323320121103300330313102003012222200223323003321123112", "232112221320231123120301320323311002331200203111202103010110003312301002100011101321", "100231313322230012133133122223301203203223130123111213130233020000111210310203032230", "332030113003001120132110223200130332010212212313130331320023121212021300231020013303", "021131331301103020231122033300110002311203102100212022112102303302333111221303333320", "311330122311011012133210032123100300320132301232112031132313233212301310030210332000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "132201123232120000230133102130311213210133222110000231023222323113122000021033311021", "131122022300320231113200321312303312332110131200021202313312220120310122311223203012", "332130323300223111121231222221302033110031300013113123111012321000032333000111011133", "132120301303113132232302013103120020220010323212031123011303320321212033133330200010", "310110111220020101223130320032131312002322323032011120303321112110001131300013213203", "332021102123201031222020233003211110033013303301223301033032202102303130213222232233", "122102030200313020120022333223320313321323221122131031023121322222331131121110030111", "213113022321223303220130122133200230302131333122102221102110202212010311003000230113", "013133312122203132322230112333121010112030322220331211122110031303203101231331101301", "101202232121212331003213011132030112022310033201231212111232311020030330200012323313", "113011101333113022201110000201220300012223221302201112211001132132321011022022221210", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "033031023331003023133321001200301031121102032331121022223021120332020013011320001311", "021132213303210210013012222323132202323312321211101032212131021220222003100330032300", "311112230203110300230001011220212010203233203133303112033311232230002012322020113010", "012132220101202203332033103020231102200033000010222200332000111103323021320030031102", "013310100211020123130013311231012312101211010213312312330211322202300310133003220302", "201220133011230203020120310200120313002312013231313213330331203113002323023213033230"]); G:=MatrixGroup<84,F|x,y>; print "Group G is G2(4) < GL(84,GF(4))";