/* www-ATLAS of Group Representations. S8(2) represented as 51 x 51 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,51,[ "104101412044034043401012244340231123001101041212124", "303212421344110332113441102243402402322330241200434", "131343201142233441040411231231332042030400100300024", "344302013340011032144234140322213214423124212212303", "344203113402102042230323143144232010014120432133042", "213243201421004323143323302301122343012332402012224", "342313404021410142201142222100140440131222034030314", "132123113131214323343204420002000133442310132140342", "213424200400313011003101044103003043333342023300222", "420230120313002301301202212343004313412002122022142", "343121401342212331144244024244430221202202040344024", "214132431034201402311413011421211213341220211144431", "423314224400344331243440422142124404243404124133111", "133231444013214001311213320101442434103213331022020", "423441344302113342102240121444304331230442243422314", "214123002222112323422021332003003331444020030423211", "213024140211434022422242410023241211444202012341341", "341241121101341012410014233311442022412243132234023", "340024044134402410122344144024420310021144324400010", "133022212331300000212010142311204020304004242334121", "422224204100141301112202310020234221442434410441010", "341114014430212123244303303023324302003324143002433", "132332301440411420133213301101204242041143140124041", "131301130022143423024230102141413014204143103442324", "422142134032120323034413002302032004121144021101021", "214341121001444344212130431403403242314312244442240", "342322212313130421400112212413203112412144102412103", "213101244144111111002334113304011020034402433212322", "001240432301122210403441432402234303221434314114210", "424440344202033310000033130121400020243243001110002", "003243411130323314403241211300033233440002421204203", "000332410424220122022010414310243243040303122301213", "001031213242113302440123320334432242244432242311232", "133040020121314004033342301211341300211421110110021", "004201340122441033312220332042144444341124021321421", "214023103122240142130244004314100414441433012022204", "423141113022040222422314243004124303203100401120414", "340024002201321322301002042214412120001223122210140", "420412131310040012302014131301411210243314224120431", "004310123310134424220214040433330203040014111232444", "343021010414020234134244031222240442224122134040234", "424131213203111220420444114140043330221400314211432", "423241020240211203212232040213002323042221042042430", "211430133414142011023210010322240222440124220243224", "342304412031244101024221310044000234010113434232421", "340033444131102401121441311233403140000314031311202", "134121132303020012100432002143124221044130342034041", "344102122420314411413102010141222331222223024310031", "341441403114411010400104311343223430401300430044412", "344043302411200341324223201043230111243340144312313", "342431040443444114113400211033104403022033001213443"]); y:=CambridgeMatrix(1,F,51,[ "311030040144413310340023031030212122334211142013402", "222033303143403012413312212332322413224441024314301", "111343320304414000414122001334040031204343101423221", "010103221000331131430212030000114023111144412120320", "001101230312444302312134300303212310032420301010443", "244230403003042344124332220001244402103402302321043", "301320102013033400342124201011304321130313112240232", "310133342221002321403121232222143124333021140330134", "121203304441442201010122110303331143414101402122440", "110241001200411343404320001030140012021021134244432", "323331031204040000213301032324303111304303013023304", "121234343201043110022243220213443102311311340444131", "340024144203123312434241003233220020411313013133340", "143000311311230302144310312203413044204242020121432", "410420043113134210230430420111032011422013231424442", "222432403100013211043402334200102413341421323440312", "144200112211121200344111404031312401143434324224442", "042133240412123413044240130314311022113411212221134", "411032230221020400323243024003420322303014043001200", "333243240044322224420001432443221222224421241314211", "243304034021013432444031033211431104341124324204142", "442114140140322412121140421324441341001422413243102", "314411431421242113213233344144100420211210233442223", "433421203030013031231440024100101023404343241143004", "234332023233414432424444302102433122331420401003432", "210024100240113443322320220332404401220402020442132", "213240113324001323242332214220020133240331202140411", "030412313402013332403410203132320222344340111444242", "134031443301403030230232103241400023034344044441230", "322413130231422343414333210002223012300011342440212", "421033033010312400422212214034320300312423430344021", "410110003222334410434042332010022224311104001220100", "300111002412111032032444304230131310024424233414441", "031113303232312110230433114132032342040302132424132", "420010321112433332013242101110421314012044440241231", "301440114134102314242130134043322423302320343413343", "112042413240131402411231314142201323324201333411340", "030100004133100121430042204332402403100333230234100", "144132323012224130424413121330210010223022340032334", "311323232431214413133000042022343243103312113310201", "223132223012321212021220223001331034222001141432411", "322114332302341244221222014031124110444112142203140", "420320244300104121113334214344203123224312024214001", "234432022032243413200313323020004412441421243400411", "101343420211041402241404233304244321232030131202332", "030043133144242303441423323334342433310003132322203", "304311412010023030012111343031013204141041021342033", "020223324004202313023441024030441241340212240230324", "341023210134003100402210223134140022014010114012441", "003401143021222402101101143222302344114110120102044", "343132223332004314342441310002004324422232021333311"]); G:=MatrixGroup<51,F|x,y>; print "Group G is S8(2) < GL(51,GF(5))";