/* www-ATLAS of Group Representations. G2(4) represented as 78 x 78 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,78,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000100000000000000000000000000000000000000000000", "612265445621104502366634261220516211304401146061133616555563121444122455301406", "252115364554565066045416663430424541404330515213520505361152333155356311253524", "000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000", "003032112106301305056362406623415440414455564060000201123204606433625322366341", "161530535301203433021254042211366446212103325065325003426035414322461266414203", "000000000000000000000000000000000000001000000000000000000000000000000000000000", "524305040060432043524361662341631332126635261430604103136666454122431566254213", "346653402332605225306036140003516262005104532641426203146605514222421366104263", "000000000000000000000000000000000000000010000000000000000000000000000000000000", "341622500540564633061500236525360054446623424625266304061132344555366611013534", "000000000000000000000000000000000000000001000000000000000000000000000000000000", "251302321041261501234214452353430530052552015202123306615513141354132255201406", "615155354061642021621046621432266010603005511434402304441162363356326111163504", "006654431005432562551343613325061355220453212422305103526655434322521566014203", "000000000000000000000000000000000000000000001000000000000000000000000000000000", "430011612554012144445101026122421140623111240306413006625503111444113155541406", "000000000000000000000000000000000000000000000100000000000000000000000000000000", "343226042555046504630255504546000211554133353664636302104441505166523054265622", "004252354000153323064351603026532634151636634135125305113356212411254034312115", "000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000", "004136641033402041336520256044616052351202031214313000540060000500060500341040", "345121646436135613660261264511500210156105265021006500060010000200020000600110", "000000000000000000000000000000000000000000000000001000000000000000000000000000", "001050144342556341501542163531460162441516656664654501622234646333605422606302"]); y:=CambridgeMatrix(1,F,78,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000", "066600000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000", "110201000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000000000000000000001", "461115663523356564505630656416302040062011401551161342342005201356326120055231", "236324114101324644341354135553425436356655235036114515001100562112003023150146", "416630203661540166043440555250160313112345014102321143202261421423513051240352", "660542326612614442106046613332213363416630215153430222360446136554054335266232", "550213650144402362316215332256511546226334520131504033622513513540325421555013", "462042200662322304214330416142564603604216505213146222354254062345550204316224", "405002663453651046410124151146651263351346156113361550030063352246406146341442", "130321230465241160431561045241261523503213015112154024465100111641463400364233", "000000000010000000000000000000000000000000000000000000000000000000000000000000", "515034166220364061345200015120054455226265354513610203643334056124356562540165", "050036416356121255136256416304054662630540162104013453551225231351223252021401", "332463142263620165316225465542305425465211256014005452160646211200242243324264", "506342036556515625561552566161525664062636022542654313566313534041112255251262", "461446002104262634435224560052066235211556114506203631236406504143426606121324", "234116655640265615445321631325010426211035525210302614464013206542053220162661", "235500611043612324030106522664602542512451623165532555315036350626631502025125", "503514513410132114324654506245343226056341632352533435454214363414621650101523", "040553115622543336214311211631224423031142542350425066566131644532501534605403", "564465011012146101412615023264505264501432324335412234333006315422522021163015", "453106662015622030343263632602006131241260221145463245552021004164546002162043", "130211440456652541643521455230003451024165440512005332343660050420035126054003", "220224350653202045330641065320405154346301510562150011606403555323631441466450", "553002240244003556324536210240462540303423315413153115521021455416411355463200", "612540514150121333545035006053534253166355416443153301334526422625032053120330", "431125612065356350063510440101646134020413156451041102665230636602516636221204", "143025535055532600014550260403403303466560222036532552144460162155646100540165", "000000000000010000000000000000000000000000000000000000000000000000000000000000"]); G:=MatrixGroup<78,F|x,y>; print "Group G is G2(4) < GL(78,GF(7))";