/*
www-ATLAS of Group Representations.
McL represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000100000000000000000",
"001000000000000000000",
"000000100000000000000",
"000000001000000000000",
"000010000000000000000",
"000000000001000000000",
"000001000000000000000",
"000000000000010000000",
"000000000000000100000",
"000000010000000000000",
"000000000000000000100",
"000000000100000000000",
"121202011012201200100",
"000000000010000000000",
"211222101010200210100",
"210022111122120101200",
"000000000000100000000",
"122120100010200200110",
"120022111102120000201"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"022000000000000000000",
"000010000000000000000",
"000001000000000000000",
"000000010000000000000",
"000000000100000000000",
"000000000010000000000",
"121020010000000000000",
"000000000000100000000",
"000000000000001000000",
"000000000000000010000",
"000000000000000001000",
"000000000000000000010",
"000000000000000000001",
"111202010200002000000",
"220021220101022102200",
"111200011122102220220",
"112202000110210122211",
"021010000220020110012",
"011102200122120120101",
"200122220122202202221"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is McL < GL(21,GF(3))";