/* www-ATLAS of Group Representations. S4(4) represented as 33 x 33 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,33,[ "221313322324443242320131020434403", "322410114023424304323414320434244", "312130143223014132400243102342124", "201424032120100004141030242143100", "001434211421240003012200423032132", "214201243123332010011211241332234", "443022210442003343412043433412333", "440200241303120144002324202104114", "242010044103230214010422423034310", "122041044203021221340221422322320", "412034032310024411232421132000314", "210202210431212200424434441021130", "131140114222244111002111222210313", "432011223320243311033240424340312", "122320121302422440334343323214101", "410133040200412001042334013132142", "011142222021111034331020421401402", "132023314004313211143344231324443", "333303422234430121133011414242410", "212210440443102310014143243314342", "032322320111214123230430114230010", "230421202432141440232232313323332", "010032332203323010341023320410040", "143411404243242123131222240432140", "424403121310420022401202021303303", "222001024103111400443302023030411", "042220042132232211204041244131433", "020334341331321044040200042422101", "340342021222222334122033130231432", "020344411443404022123343410403431", "302020334044312333303433312332034", "123414043202002024031222133031012", "313133221340221403032023310040223"]); y:=CambridgeMatrix(1,F,33,[ "231141030243410334334224201130222", "210334230341001421301224321301343", "104433214141323442401330142304442", "114302203313441013313333032141321", "142124301133310400020104231310244", "444011344201211041114322311203440", "432124003033010401140114423110033", "101432201322100104002001232333342", "340100231141240044414103340334213", "401044244321020100002004423112041", "123034104131144432331333411343041", "101443040203000200324022142334104", "340304330411033201304243414422431", "024241201231222010030432104040140", "242430042433303120034000421241334", "314100341401134140234320202342301", "410114040100310424430042401120144", "112011042013022122012004124441231", "122031140413023441320440402440130", "144242341032342222134442043412334", "410032214124321022422231132004341", "040142143323110213222333440134424", "342220012332224323333214401203313", "231320220222411010021243341314212", "320434303140014403442001040443414", "404014240331213300241012313314014", "421341043133421103042031400412422", "242313344224041004144100204022222", "101232144230314043300033334014114", "444122021244212302110431300023310", "024223343301304134010403441420104", "120141030411342131411411203221330", "030011420333011003304432344413131"]); G:=MatrixGroup<33,F|x,y>; print "Group G is S4(4) < GL(33,GF(5))";