/*
www-ATLAS of Group Representations.
M24 represented as 45 x 45 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,45,[
"200000000550057705770707550100010001200077707",
"000006030216311262213231123001001010010312132",
"000003030213611161123261126020100100001321231",
"000100200322162123321621162003006100002232126",
"000002010311261213312321132003003020020262123",
"057020001075505770077077505000000001100705550",
"000200100232113622231126612001002300006223621",
"077010001507750075707550077100020000000750055",
"000001010262116611132216621010200300003226321",
"622770262200232161525116770057131311750002116",
"611213705010131507161552213311507611750010226",
"057216232001507262232223123611161075840200750",
"075126131216213010075057002621261044770312322",
"611550161770126200611622020321707055213321255",
"311216705213751001311322200055162077123077322",
"321123505162020200131231525750223570312077223",
"055213231505100010705261161480750116321321223",
"621770261132001001161505232570113113077312552",
"321770231612057131177002622216770550322010322",
"312213707257311705322100611213770216075002311",
"077123132612611161322010057550440126311200057",
"322570162162057226010200262621707057113571231",
"075223261162622750001010507612162084750123261",
"311113505527322116200001161077261057116123707",
"611116505321002612550261177322705321770162001",
"622570132312020257216505322075232621770261200",
"075226231077200612213231322311131077440505020",
"100000010075570386226550707231621162161433262",
"002000001611226643116213231707055707705433232",
"010770100311116000570123261132321132262000507",
"001000002161231231338312321507075705505311646",
"100000020705505261338055077262322232132322383",
"010570200131132707000321621161622262231075000",
"001100707750000611621000750131322231161113123",
"010020000113863311612646223507075707705116213",
"100001000116863057055383113232622132131750550",
"200001000334321770707131338132612131231507077",
"010020000668312123231161338505077507707232621",
"001200507000077213261705000162621161132131321",
"077223232002770077002611126880770113621261231",
"312750262010123321100322550770123116077517132",
"321226705200213312020177216770126750321132707",
"312116507123727226770223020226570126057213200",
"077226262126262226216750002570840216322770010",
"321570161550262772213113100223570770311123001"]);

y:=CambridgeMatrix(1,F,45,[
"312116262075057261622131262213226100700055770",
"157113232322322707075705705216223100200321213",
"621570705311311162611232161550750700100312123",
"216100161161517132055550311262705075321200216",
"550002262507132162055216057727161611077020126",
"213020507262261505044213611131262311621002770",
"213261312020075804075116312550020611321116261",
"550505312200622507311226077123200057312113725",
"123162275001322705322750612126001311077750132",
"612622322000550216216132231132621075010000057",
"312075057386213213126231261707055000200364322",
"077611622386216550770707707162612000001638311",
"321113231505000116226131131223116055010770000",
"077223261231364570570507705226226000001123866",
"621750505132638113116232161570570000200126866",
"123751116116200707621570621010622612057311077",
"213126226570001808077226321100075312611622612",
"770213570226020707321223077001611077311155621",
"216612010257223161057770322057216077611132020",
"550621100612570131057126075311752312057231001",
"126055001612226705084216311611216321622505100",
"131550001020505321231044750622311322311226216",
"232216200001132312707077113057311075322223752",
"507126020100231077132077116322155311075570216",
"232275113507622311705322550001216322057100162",
"131312223161311611161057440200550622611002707",
"705312570131155057262311770020213075622020132",
"705100621312010077162075216572131321077261077",
"232001321612200321505057126213705077612517321",
"131010055077001312132084770213232621621132621",
"262162262113116311131055840507020612612075100",
"161261515226750611705321750131200312055322020",
"507505262551113057232312570161001055621622002",
"621161368075055123216262131863231100000055570",
"612262634311621770550507705863261020000621223",
"055705000322321213213161161000707001057612226",
"321686213216131570570505505621683010000131232",
"621686216770705116113132162612346200000705507",
"077000550213232113223162261055000001055161131",
"000611132123312010200600006113612002020262116",
"213075707770055100020000000570077020002507750",
"000622231213321001002600003116312100200232113",
"000226611322232060600020010132116100100321262",
"262570057057507000000001100505570020001055507",
"000223311311131060300100001231226002020621232"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is M24 < GL(45,GF(9))";