/*
www-ATLAS of Group Representations.
6.A6 represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"400000000000",
"000100000000",
"004000000000",
"000000100000",
"000000010000",
"000040000000",
"000004000000",
"000000000001",
"321234023144",
"104332314242",
"000000004000"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"403000000000",
"000010000000",
"000001000000",
"210000000000",
"000000001000",
"000000000100",
"000000000010",
"243133031001",
"033134223001",
"200140022003",
"133341021024"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 6.A6 < GL(12,GF(5))";