/* www-ATLAS of Group Representations. 2.A8 represented as 64 x 64 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000010", "1233343403114424312340331141401324222130113123201423010244320014", "1044010421213202041124130314423332144200241302102430004144123011", "0330122324404424343214440232400011131131334340233013201110330104", "4001231320444212322442034412130223030220444124340020402431130310", "2313023001422211322113114334331231143313240421111021324322410442", "0000000000001000000000000000000000000000000000000000000000000000", "4111022331420143002313430202422201410230144141144303104030414320", "4314422042342402113131412203224332431400230441233330030240133133", "3100414023411230420332132010413232212444344040340434020411032433", "1212000121340410341114204041331440332030221421304242223200241341", "3123131204422324304010040312241033124004121140024434023431143242", "0000000000000010000000000000000000000000000000000000000000000000", "0332233402301014400020011104003202144302222004321203030301111011", "2331224430300404021102342344224334010213300440242000200114414113", "1244244312011042412214442022044343012403003233441312130234021040", "2132423024004433123343041002042314321024022203332242110131204434", "0414440231141434331030044013102123440311312211001342003244114242", "3402414302011403224420442111233022444334431234134410402201013303", "0000000000000000100000000000000000000000000000000000000000000000", "0423222402312140103340311243234411223402322221242331111001423201", "1013421130114031034414221220300203324022211121423130142331341231", "0320012304133141432143132420402404332213434210441211112024144400", "0000000000000000010000000000000000000000000000000000000000000000", "3141344433413311224430203142024320114410133124121210331210011422", "4023310301103102423241321131144320431104441110124420331333340001", "3040233340214014202320320213213133024440331203300424103203333422", "3142101233101302321441130124113214242421300231201434131132130331", "1334212432421234031441004220442000331130334112044040324411204102", "4433140023130400324441114104220432440102230120234213114010220003"]); y:=CambridgeMatrix(1,F,64,[ "1400000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000001", "0024432244432202012424320122330131103400403441140011001304234432", "2323433043121122141040421002132100214004140330301134331132440301", "2200121301011303301443220101144414032314303040240443001044303334", "3134410402001010232221222441422443430242222320133312201421424441", "0020422133102134442143411110140424412021233410114042341034401323", "4134342031113013233403343313420142032444312420201120212400413444", "4423213233432412323042320110133402231230034311011301010411423103", "1113031011304040344131423414223430224144134200432244004443401000", "0404004000004000000000040000000000000000000400000000000000000000", "2303320324314414303323444440003410432202332333204411101000340304", "1031424141220031314401210122424001423213211410204043013113430104", "3200344340021313443400111211430112423144234410230214200011440243", "2211021244323024042222244111404043011300343421321003002024034313", "1034202244110000013203213112033000101304311102004112444101300230", "4314303000314213231222111032044121204040424111020132002314001443", "1221121403131211313220100241401133144013021024313410002001220040", "2242240234104100123440423420033241313021414200443023212324223202", "2143441123012323324021401012020212214220403332203001040401404403", "2224034410314104021300133031411241120203041012103130013040242402", "1231243110131341242314013413102404002232033124411021401142342124", "4244330202044444044300412202212343410414133410212002332132324242", "2322140241233104403434413320340024044401422440043431331440410213", "0402213023133024422010403131334222102042130311130331201400112311", "4020323033314022321430122332121221221421443312403144310011020321", "1220213403044241343224420022314240331003243122013430410231433211", "0301004323212001432203334144324030434220014434024043302042120044", "2123031100103321220241433124424323040322411323232402313120023232", "3113300111200403040113344334334020004214041103114210232231111441", "0212010223011344013023410044301144330141230221332424324044030322"]); G:=MatrixGroup<64,F|x,y>; print "Group G is 2.A8 < GL(64,GF(5))";