/* www-ATLAS of Group Representations. TF4(2)' represented as 78 x 78 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,78,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000", "414141000001004000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000", "041010000004000000400000000000000000000000400000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000", "444311114443310422301330024240033131100121142403304314010000202000200000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000000000000000100000", "120243411422131442321034340011131022443124113322124101341013304000400204000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000", "331340312413043400101304013203124222022032243324030003011003110000000004000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000", "024444124324333222243330104233010123221042403231040203003302400100300002200000", "414141010420430113034220242303011310022341044020132204311203004010300204300000", "213434104012341220323300304232030110231124134024444301223303101001200302200000", "000000000000000000000000000000000000000000000000000100000000000000000000000000", "123402213441112344342214103303130213023224124230423201033302001000310002200000", "104040223343313321132242223304333220013324223032422201230402301000301300100000", "000000000000000000000000000000000000000000000000000000100000000000000000000000", "444311144104404311342443143131211220240341133000102104122100004000400413400000", "000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000", "140000312401204132014030433043032244123222031130423103121402001000400404110000", "413214104010340221043042140020301011300004024434200001133302103000000402201000", "421331312432224133104322010204314010010142224030004103333102000000400202400100", "240422342113143444101013034013222114421434214114041201341104100000300204400010", "211120322330323224313413434104202130012002112011430003444304401000000101200001"]); y:=CambridgeMatrix(1,F,78,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000", "044000000000000000000000000000000000000000000000000000000000000000000000000000", "121000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000", "100312344133424413234021210044424023112431442233431404214042201000100301000000", "000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000010000000000000000000000000000000000000000", "033311441103301301404214030241230213342211121101334223324023034420433012202120", "401032304333214000403222431143222312213202411432012233133222103221240033022410", "000000000000000000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000000000010000000000000000000000000000000000000", "324234131123434102044224424220142101214342113030010330214021113104014221022302", "412401022212243231302434230323100244301414141201303233043142101412404241204401", "431212434132140122401014304212242334220410133342132122120200313333041223214340", "323024420130320123412241331344333033103421333421001031132014222443304422411141", "130204304311132313433243010340344412214132133134134344214400112311304144021033", "000000000000000000000000000000000000000000000100000000000000000000000000000000", "104304134431241303322043342113002212122403202140411244234034124241224413323021", "312213040334120232030214010313312022413332231100234044242403022034231114232443", "330001401202141301312022132324242242331020042134142240243031311021244444443031", "441111122434244211130413134321140311402142303414101124232324011314332203332204"]); G:=MatrixGroup<78,F|x,y>; print "Group G is TF4(2)' < GL(78,GF(5))";