/* 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", "023313213032200101333133013211232133131202003112201330301221310300122231000032322210", "000000000000000000000000000000000000010000000000000000000000000000000000000000000000", "210013022020010300112333221220123330321110101332003020201111000022330103333013330033", "030101303311020220100231010330131322320120302200311201111032210231000033123021013111", "000000000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "230002331021203210202212211202333232021313222210232023131121131200101221103321032130", "303120223320101321202113223120211203122120103221301223103201210310201223032111322233", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "312030022133010211211102203320303332023223100333133330301321231100012201031130211220", "112233003021220233113333210220102222200032110103211001301230210213231123003200203221", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "002302202021302113321130200123201123320333320330101310332331123033231101220223212302", "000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "112221322132203211233310120322011032012001311000133301033000231232113211100002212023", "030100312210002010132100121323030110112212200233232121032303113030322021230201123110", "000000000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "332000132213210300101132100002111021102330023012213222222123011310302232022231130031", "000122122131013202103022311023313210232200020222001223113111310113020023102213033133", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000", "332210213022031201130222100103123233230131201231322323230232112031222022313331031210", "230332313002111110312121110003033202033102032033233022112220320200122013001230232232", "000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "302331311020222122031010032222030311200000231323332202310011123220122012031032332321", "000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "012130320032033001300301030311131320232321231113330111102032023203223200100001112322", "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", "003212231221130213130031200102100112000023010302102101012301313121303020322222330130", "132303202320223123200211231323300030320103133300312222110002102333023302221210222321", "011001331111102301100033100222232110213231032323031010222132012313221201212003113322", "230031203201122330331012113112003110112302221231323012132100112112221003211211122313", "103211132233130000120221122013222111333001000031233133030321211031220121022111133221", "221000022032313310300131300131232230131102200220212103002013333300332232002231132113", "323113331230321132130201230232211003221300302111303102010110002213201003100011101231", "100321212233320013122122133332201302302332120132111312120322030000111310210302023320", "223020112002001130123110332300120223010313313212120221230032131313031200321030012202", "031121221201102030321133022200110003211302103100313033113103202203222111331202222230", "211220133211011013122310023132100200230123201323113021123212322313201210020310223000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000", "123301132323130000320122103120211312310122333110000321032333232112133000031022211031", "121133033200230321112300231213202213223110121300031303212213330130210133211332302013", "223120232200332111131321333331203022110021200012112132111013231000023222000111011122", "123130201202112123323203012102130030330010232313021132011202230231313022122220300010", "210110111330030101332120230023121213003233232023011130202231113110001121200012312302", "223031103132301021333030322002311110022012202201332201022023303103202120312333323322", "133103020300212030130033222332230212231232331133121021032131233333221121131110020111", "312112033231332202330120133122300320203121222133103331103110303313010211002000320112", "012122213133302123233320113222131010113020233330221311133110021202302101321221101201", "101303323131313221002312011123020113033210022301321313111323211030020220300013232212", "112011101222112033301110000301330200013332331203301113311001123123231011033033331310", "000000000000010000000000000000000000000000000000000000000000000000000000000000000000", "022021032221002032122231001300201021131103023221131033332031130223030012011230001211", "031123312202310310012013333232123303232213231311101023313121031330333002100220023200", "211113320302110200320001011330313010302322302122202113022211323320003013233030112010", "013123330101303302223022102030321103300022000010333300223000111102232031230020021103", "012210100311030132120012211321013213101311010312213213220311233303200210122002330203", "301330122011320302030130210300130212003213012321212312220221302112003232032312022320"]); G:=MatrixGroup<84,F|x,y>; print "Group G is G2(4) < GL(84,GF(4))";