/* www-ATLAS of Group Representations. Sz(8) represented as 63 x 63 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,63,[ "010000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000", "044313013000000000000010030001000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "104010200204200002000000000100000400000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000010", "434142224233342310124141220310112402311302124301212242431334340", "000000000000000000000000000000000000010000000000000000000000000", "131332443200421344214212302420410434300310304210244210102333232", "000000000000000000000000000000000000001000000000000000000000000", "103222004310044203402331141233010202331134432322424033201211244", "041230342201140140020120422014123202423121043421341322341124032", "000000000000000000000000000000000000000010000000000000000000000", "241322102440210331012004234440042304011223402220012303104134033", "000000000000000000000000000000000000000000100000000000000000000", "024331423311203301432032040032014223243412402010300434003424214", "000000000000000000000000000000000000000000010000000000000000000", "403213240141234203123341444031032422203411201444043022410103331", "000000000000000000000000000000000000000000000100000000000000000", "034421413134322323101031004140432000304124311340433144144101021", "000000000000000000000000000000000000000000000010000000000000000", "142432044141123030222434233212341422031014304244144343213211043"]); y:=CambridgeMatrix(1,F,63,[ "001000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "022111042000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "400141001000000000000000000000000000000000000000000000000000000", "044444004000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000", "122202032000000000000040020004400000000000000000000000000000000", "044000100100100000000000000000000000000000000000000000000000000", "000141001000000000000040010004000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "201020100104200000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000010000000000", "000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100", "001333403312334132131241422311021224441411000311421042124042440", "000000000000000000000000000000000000000000000000000000000000001", "240212140432032120430020202320413312134434112023244410103440100", "000000000000000000100000000000000000000000000000000000000000000", "323243031101333123314103132003441303013214442400343103002031444", "440313230314440001421203400402444233203044224130200040200304323", "322241411444314042233200322031134302134010113324231211331311212", "202104442200030413440402433130230320122112143204103343141221420", "432000101010043031021132441044401434202312234314011410123111323", "024441010430020421103223013313221232024340323101121101411341141", "000000000000000000000100000000000000000000000000000000000000000", "041011404041122432401302004444144233022234241404411321004320422", "000000000000000000000000000000000000000000001000000000000000000", "301334224433424332203042204234344441243203030023313024313000201", "000000000000000000000001000000000000000000000000000000000000000", "323041404301432444410304040143040421331213204240411244341210043", "310341212342304441111321242341311331313200240332312011323031220"]); G:=MatrixGroup<63,F|x,y>; print "Group G is Sz(8) < GL(63,GF(5))";