/*
www-ATLAS of Group Representations.
M22 represented as 21 x 21 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000000100000000000000",
"001000000000000000000",
"000000001000000000000",
"000100000000000000000",
"000000000001000000000",
"000001000000000000000",
"000000000000010000000",
"000000000000001000000",
"000000010000000000000",
"000000000000000001000",
"000000000100000000000",
"000000000010000000000",
"324312243441111104000",
"144011034312024010000",
"000000000000100000000",
"143420140121043000100",
"141142403210034000010",
"140401114034302002001"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"000001000000000000000",
"000000010000000000000",
"100414010000000000000",
"000000000100000000000",
"000000000010000000000",
"343221040100000000000",
"000000000000100000000",
"100000000000000000000",
"000000000000000100000",
"000000000000000010000",
"000000000000000000100",
"000000000000000000010",
"000000000000000000001",
"422101410423431421434",
"214010411340102210303",
"200214144444433412032",
"022212223124434011231",
"400120422041140141030",
"121104444240142403444"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is M22 < GL(21,GF(5))";