/*
www-ATLAS of Group Representations.
2.M12 represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000100000000",
"001000000000",
"000001000000",
"000010000000",
"000000001000",
"413241213000",
"000000100000",
"141432401100",
"001414401010",
"231423302001"]);

y:=CambridgeMatrix(1,F,12,[
"340000000000",
"001000000000",
"312000000000",
"000010000000",
"000000100000",
"000000010000",
"000400000000",
"000000000100",
"000000000010",
"000004000000",
"000000000001",
"000000004000"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.M12 < GL(12,GF(5))";