/* www-ATLAS of Group Representations. 4b.L3(4) represented as 88 x 88 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,88,[ "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "2566000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "3401000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"1003124434333062631016003511613164501541655652431466312156011500300003352512560302061554", "0000000000000000000000000000000000000000000000000000001000000000000000000000000000000000", "0513222550121101215131144520366550011203056251342543603123301634041560150160405402031555", "0000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000010000000000000000000000000000000", "2564003135202141041363612554343246645664340143630112466314244022332405445032410453520504", "0000000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "1610102315251002611644016153156313113213362326045334412255035050006121431360564621656440", "2253206531543160511520002422156305025200405435142560016201650255210611323354210253431326", "0000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "4443104524660255462060216053133031010115313353213511264046453102522354556426330550140524", "3045312246230430045236054631230254133602414225234613150254414632104462056032645656146451", "0000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "1004354034111563664116521631432045140230444525245641435402304250651005361426141402050021", "0000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "5505102120120016540631600454511116344334645310262050324054431601522420260423034245641566", "1303650360442266612256414331624525132236243124556340614623112663116203560610324345311336", "0000000000000000000000000000000000000000000000000000000000000000100000000000000000000000", "5532554456006623365053046306066033302411046602130550600323344014464313316261300300255262"]); y:=CambridgeMatrix(1,F,88,[ "0010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"4200606401121531045300423424061512055262665322524005556643622455560424350050246322313511", "5313510536136123606626154254463653023362326205214142020363203260605512302165001053156646", "0313305263064205566430353022661355566464446343136620224501300131623363140202315501356261", "0000000000000000000000000000010000000000000000000000000000000000000000000000000000000000", "0010014641024151224560016403532614166226422252101364435152015165103500441452256131506641", "1031011152041120101154051000305501661302665624502045220146433433234464535344540013145054", "0444114566416666156322213561416615364501112333506563066036621216243054365454122353163124", "4620103441235211003505343365405544401361602550145262501634016235100116206254464460363460", "1105645632220555352103501462165512506140543263043425421413131000034661300612400226213665", "3106412146630660004110202444603452402624054303503451634560413365553233051256236620153010", "0142133055425153501460622665325060443366261643325022636344606236634611313124200510323343", "0000000000000000000000000000000010000000000000000000000000000000000000000000000000000000", "1004354034111563664116521631432045140230444525245641435402304250651005361426141402050021", "1015015105603346344203025054616551621256026115415453644464334535155461052641543264310030", "0333442106012320064655244432126105142066005314342103360665401554543632543442333602120445", "5046605034265332553625310530015166241000302605613041256310020661602232311431004322211404", "2042343340256114300131645623530114661642005121105543145363255066254456305251036604100404"]); G:=MatrixGroup<88,F|x,y>; print "Group G is 4b.L3(4) < GL(88,GF(7))";