/*
www-ATLAS of Group Representations.
2.M22 represented as 28 x 28 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0001000000000000000000000000",
"0010000000000000000000000000",
"0000001000000000000000000000",
"0000000010000000000000000000",
"0000100000000000000000000000",
"0000000000010000000000000000",
"0000010000000000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000100000000000000000000",
"0000000000000000001000000000",
"0000000001000000000000000000",
"0000000000000000000001000000",
"0000000000100000000000000000",
"0000000000000000000000001000",
"0000000000000000000000000010",
"0000000000001000000000000000",
"3322020323131331431403004030",
"4213033333231412111132101313",
"0000000000000010000000000000",
"1320411411140031030412300232",
"0203300200421434011412440212",
"0000000000000000100000000000",
"4241124224020020200143102203",
"0000000000000000010000000000",
"0110031032000410200233202100"]);

y:=CambridgeMatrix(1,F,28,[
"3043421010411203313201242403",
"4441030140002040043420141044",
"4312441032002242003304424424",
"2112102042032141101441210241",
"1202314422233300223120221242",
"2211412240431423131440224431",
"0121041321034414134241101430",
"2413034140014202044404122023",
"3232402014420303324223033021",
"4411414024033210020223200110",
"2041030240040134410431042140",
"4241140033441324234412003042",
"3200442444443200413440344443",
"1110200232241322102203111402",
"1334424213400201423400444103",
"1143234231314120012122204044",
"4434413011142343223221240442",
"2324302101240032211001031221",
"1434421120324432443342112203",
"1101114340430424120233013121",
"1030123020140422431223142402",
"4103401413033343244134114340",
"3441202230012234202320113433",
"2201342110421231214221403204",
"3042413301122204124101312343",
"4224012110403011324132310114",
"0142231043134423120113024024",
"3140321330041202123044230014"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 2.M22 < GL(28,GF(5))";