/* www-ATLAS of Group Representations. 12b.L3(4):2a represented as 72 x 72 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,72,[ "010000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000", "464405300010000000100030000000000000000000000000000000000000000000000000", "511160030000200200000500000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000", "522550200000600000100000600000000100000001000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000010", "104035105041060132353220046203413332025566003664612231124544510143320212", "000000000000000000000000000000000000100000000000000000000000000000000000", "604451224455023260426160024240245110215363512320205252231302301023562434", "000000000000000000000000000000000000001000000000000000000000000000000000", "405510131336010630143623015036564130103265554532410344246411154634001433", "000000000000000000000000000000000000000100000000000000000000000000000000", "634301160530642166534001055303416155321361146534151543323536324410016303", "553430640250336664302420005614004413466514122401454125534512505326640055", "205165112202550152014515312421341231043036342431501453322323115022310110", "000000000000000000000000000000000000000000010000000000000000000000000000", "411631336306535530351405642526141242240611654450346552014125334640061226", "105366631264212653003606342240625365534251445601431313411236250264521216", "000000000000000000000000000000000000000000000100000000000000000000000000", "450161120056614503311512253264225404015335161405616160463053226656260455", "000000000000000000000000000000000000000000000001000000000000000000000000", "441664411144261521553036461116162342525405314354646455014002533101323463", "000000000000000000000000000000000000000000000000100000000000000000000000", "046215222262652130116523255160025242506012620302405634565122041243616161", "646110230652236365400305026465433052556333524424135126463214264161551525", "000000000000000000000000000000000000000000000000001000000000000000000000", "110540414133534132504621011215632356651304410354036625033416066221525152"]); y:=CambridgeMatrix(1,F,72,[ "001000000000000000000000000000000000000000000000000000000000000000000000", "566000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "106010000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000000000000001", "623406306560040233604143556256044443215254456041433616316451624622041043", "011641266454243246610134103533306562053234661323656103561563505514125223", "555655124225300042322046564004363423322331460022043652120322561452564163", "615163105544224231341230264400513432200516422650624243222115306136022424", "000000000000000000100000000000000000000000000000000000000000000000000000", "103320262665020560216546023065351260206453331364120611415122231561002166", "066231055636555323345500340263422412164016221551061105252116324531205440", "632460264505132541055002151036504356220006026033613550105530562640161255", "232626660456366132622002032013105324363044553116432033532414443351324354", "623130366536122355101535111344462441632511053643551363155241441415353242", "000000000000000000001000000000000000000000000000000000000000000000000000", "304163536326330513510244204350252062426133024401303326651615616421563156", "554100555422120343126630654644455013213664016326660241031615246263252500", "214452466640123030506106550103646165356224020436046021013051422104336134", "154553243104540440064565240124131433665405530044330154560060043123220045", "000000000000000000000001000000000000000000000000000000000000000000000000", "130154556500505413322045046122144523516551153646514354263130251056361303", "065204526145351154154224164554430643031523633011434263120445562213005154", "611346125135002022011512523516006156141143324561064023540125623562566046", "064005022041025623664611635133654336613154416033250602413662431240451604", "000000000000000000000000010000000000000000000000000000000000000000000000"]); G:=MatrixGroup<72,F|x,y>; print "Group G is 12b.L3(4):2a < GL(72,GF(7))";