/* www-ATLAS of Group Representations. 4b.L3(4):2a represented as 72 x 72 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,72,[ "010000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000010000000000000000000000000000000000000", "023223212112321014430030100343400001420424004124210103134110011342231203", "000000000000000000000000000000000000100000000000000000000000000000000000", "442112212041342140334441243024424232444102213102011132324421132141440214", "000000000000000000000000000000000000010000000000000000000000000000000000", "044014331142004020312322413431103124310112112023220144414111141041001140", "000000000000000000000000000000000000000100000000000000000000000000000000", "332444310033134043420401020304303120243220141102031124324203301143120244", "000000000000000000000000000000000000000010000000000000000000000000000000", "213103203122043041100234114401313213421103013330412213144440430204044031", "000000000000000000000000000000030000040000000200000000100000100000000000", "000000000000000000000000000000000000000000100000000000000000000000000000", "242004123111421130040421141324240120232000112301221434322401110234412220", "401324124124344424322030334021003224403311423001044344241121033424344121", "000000000000000000000000000000000000000000001000000000000000000000000000", "101010134223010114144132004040211442131344122241011434044103000043241432", "000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000", "223422214101014443020320011111231024212414401123241221241321130422100322", "000000000000000000000000000000000000000000000000010000000000000000000000", "022433343220303221023210400442400401303313041230242401320223001143324423", "000000000000000000000000000000030000010000000400000000400000300000000004"]); y:=CambridgeMatrix(1,F,72,[ "001000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "221200000000000000000000000000000000000000000000000000000000000000000000", "244400000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000", "400011000000000000000200030000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000", "220200000000004002000000000000000000002000000002000000000000000000000000", "410023000000000000000100020000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000000000000000000000001", "002443433424110401404342231112032321442224140423100223441123041400303021", "122444222443433003442432134232144332444420411310413304110303443243430010", "000000000000000010000000000000000000000000000000000000000000000000000000", "203201113310044004430001032304210120402121134141134403214001134210120141", "422100000000002000000000000000000000004000000002000000000000000000000000", "113121422000200100403144401221233411303022242034104043413043401333302100", "000000000000000000100000000000000000000000000000000000000000000000000000", "414211122402100124120022202012431420220020314144440041230112304442121013", "301132021104430314401222203322444000102010332033244334242323301111141032", "141114120344330142114212102104403221234004114102310421444403034342240442", "240421121304430431210241044334321200410143240221212013010303013030230031", "120033441424300430340023033201442121432232121030442240114222133334044002", "224101424213121444221424204241040204223033112322101423411443013111013034", "311132324430303001103301441033321403114221213441211220110303333043124042", "210413140032044332102330041414210143012320124023323233204404102010411201", "140114043030311202222441244030412242220320120022310410234410124434003021", "131130443030204143321122303400400320132204004031312243422241200010142324", "000000000000000000000010000000000000000000000000000000000000000000000000", "014232123414310032344021114334304013103143300034230410231103343322102344", "244413240112040034223320004422010303311144220224022020303100021102203302", "330314011132231013421311222223133122020333142200201223310100232432004323"]); G:=MatrixGroup<72,F|x,y>; print "Group G is 4b.L3(4):2a < GL(72,GF(5))";