/*
www-ATLAS of Group Representations.
6.A7 represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"444000000000",
"001000000000",
"000001000000",
"003104000000",
"002110000000",
"000000001000",
"000000000010",
"004020442010",
"333203302111",
"002312322040",
"244033110243"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000010000000",
"000000100000",
"000000010000",
"000232340000",
"000000000100",
"000000000001",
"304234201103",
"324034120301",
"424404330112",
"100000000000"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 6.A7 < GL(12,GF(5))";