/* www-ATLAS of Group Representations. M12 represented as 66 x 66 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,66,[ "010000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000", "140000104000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000", "243214422333101100323033204240331122002034413020130434431301201342", "000000000000000000000000000000000000000000001000000000000000000000", "223131332430203104044101310132303311432231402321323323441120431320", "000000000000000000000000000000000000000000000100000000000000000000", "134320141204203312100314143024343244442200001301021124342022340020", "030104244021104023322141040410430400034013132221131341113240344210", "000000000000000000000000000000000000000000000001000000000000000000", "311034303042402134124212231021301110401342433134332103330302223432", "411400000000000000000000000000000000000000000000000000000000001000", "104131142412142440422331110002212032141423232412404213004032010121", "000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000100000000000000"]); y:=CambridgeMatrix(1,F,66,[ "140000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000", "044000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000", "144100000100000000000000000010000000000000000000000000000000000000", "400040000000400000001000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000001000000000000000000000000000000000", "400434132331014042443123200030022110041433432002431140001340202413", "433142112233421210231112413434431242214000411234403442211433241201", "343434410240111243421133204304220201140310142033233033413111432012", "000000000000000000000000000000000010000000000000000000000000000000", "442043003344042222044441423312401204400140121300224431040303401021", "000000000000000000000000000000000001000000000000000000000000000000", "312340130400204233002234422114124224114341123401421110010231301201", "000000000000000000000000000000000000100000000000000000000000000000", "401231340332233313312300100404141210133401204432243311041133003203", "202204332214033004431030311423134032404411203412311414330330030444", "000000000000000000000000000000000000001000000000000000000000000000", "201323303122444031104041414000243312204321033010103210200231031134", "241434424321001100434313320401241110434303004243214400431224022403", "211113424130341313223244142143120421214241242431014211320302244011", "442024430203422122300230302131301210020411020002431441013300311132"]); G:=MatrixGroup<66,F|x,y>; print "Group G is M12 < GL(66,GF(5))";