/*
www-ATLAS of Group Representations.
McL represented as 21 x 21 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,21,[
"010214334243313222312",
"011144440334340021442",
"032432430401323021434",
"122224431003401334241",
"401430024443241241033",
"223224112013013431014",
"211244410130014201010",
"243212131231332040210",
"140210413442101040023",
"411032111204042302010",
"401133230224121424230",
"120023123110233433014",
"121243231041201220342",
"113141233142001313142",
"201141131422410424230",
"221410442424244222341",
"434442300312101134431",
"313034442104401310213",
"140331113012440114341",
"224234301320230242223",
"300111344334400424402"]);

y:=CambridgeMatrix(1,F,21,[
"241244122424214111312",
"121123022014020201421",
"003011210230431411003",
"400013030413221224103",
"040432222130212042242",
"430144034022401204142",
"304013131143244242314",
"110012211234430112320",
"401141440434431200033",
"424402121143310200422",
"441024331212122302004",
"441334200331312144140",
"304143042211332033421",
"021100240312223112340",
"323321332421143302424",
"214322143243213340410",
"324223322130213213322",
"040100404210312231431",
"214124131133224024213",
"343423443123040304114",
"021432200134303113041"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is McL < GL(21,GF(5))";