/*
www-ATLAS of Group Representations.
6.A7 represented as 48 x 48 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"044000000000000000000000000000000000000000000000",
"411000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000010000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000010",
"000000001000000000000000000000000000000000000000",
"343123404210020430340002444422102001312240240203",
"033340100230014041222303332110011402124111442120",
"202144413000040022020300403322211232131322301412",
"340141130100442034242140024433020131314442334302",
"000000000010000000000000000000000000000000000000",
"241301322033133211433140011413304134101010210304",
"304344131031433204330321121004221004333034144004",
"204110331221230040310313012010241324222234224042",
"143200401344110043022342231044230110142430013211",
"023220042213343101031411304310424404134114414444",
"330142230331322432101231102132030004322430301144",
"000000000000100000000000000000000000000000000000",
"312303011432014244011344411022013311302221422204",
"410342332042140404100400132043034330102232423031",
"433201442203313421031131420144004042142344104304",
"210134013221203220130220322131004200132420020242",
"000000000000001000000000000000000000000000000000",
"343401011401103323340243300132343041144330201130",
"422000223020302102434214433120244320432440304343",
"333203034330211003314334020204400304302341232121"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000010000000000000000000",
"100000000000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000010000000",
"010000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"112013124331431331131203431402121011042221242410",
"000000000000000000000000000000000000000000000001",
"033113332010432200140044220320012422233120414100",
"303344043003012114013332212423220011143300434004",
"434434124221143203024122114320431444132243012300",
"030212441101013320244230212224011121021204311220",
"223021012100203003011000100104304131203121020313",
"231130313033342204240400021110404010040202141344",
"121130223320332123032431424144413303320011011234",
"110321203444304434423332334431242420140440000434",
"224244314120332424340022141032423203424331124222",
"021014444424132231104140240020214141223200340143",
"310330042130311013114214403344014214101303140021",
"101022034313122411243200400213003011032100044000",
"223132342342334322433040434330214411131401200232",
"230344343424122131314401104424331204130214042111",
"120240443121133100413222240404141034324212242124",
"142400331141321141303211113301234244013104231334",
"013410114430030300124133431301301010000120412200",
"434122211011314000424101442011401444302140214400",
"444121111003143142401300344423222123412333143342",
"403204232404222312231411020330103233204042233231"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is 6.A7 < GL(48,GF(5))";