/*
www-ATLAS of Group Representations.
McL:2 represented as 22 x 22 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,22,[
"1000000000000000000000",
"0010000000000000000000",
"0100000000000000000000",
"0000010000000000000000",
"0000001000000000000000",
"0001000000000000000000",
"0000100000000000000000",
"0000000001000000000000",
"0000000000010000000000",
"0000000100000000000000",
"0000000000000010000000",
"0000000010000000000000",
"0000000000000000100000",
"0000000000000000010000",
"0000000000100000000000",
"0000000000000000000010",
"0000000000001000000000",
"0000000000000100000000",
"0000000000000000000001",
"0661212646142412241621",
"0000000000000001000000",
"0000000000000000001000"]);

y:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"0001000000000000000000",
"0000100000000000000000",
"1000000000000000000000",
"6666600000000000000000",
"0000000100000000000000",
"0000000010000000000000",
"0000000000100000000000",
"0000000000001000000000",
"0000000000000100000000",
"0000010000000000000000",
"0000000000000001000000",
"0000001000000000000000",
"0000000000000000001000",
"0000000000000000000100",
"0661164231660622000500",
"6631302506265521103500",
"6405150645343323016500",
"0000000001000000000000",
"0220024551025325003600",
"4063155013251622005510",
"0025335416041163000101"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is McL:2 < GL(22,GF(7))";