/*
www-ATLAS of Group Representations.
2^4.A8 represented as 15 x 15 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"000000001000000",
"000010000000000",
"000001000000000",
"000000000000400",
"000000000000040",
"000000000001000",
"000000400000000",
"100000000000000",
"000000000040000",
"000000000000001",
"000000040000000",
"004000000000000",
"000400000000000",
"000000000400000"]);

y:=CambridgeMatrix(1,F,15,[
"100000000000000",
"001000000000000",
"000100000000000",
"000010000000000",
"000001000000000",
"000000100000000",
"000000010000000",
"010000000000000",
"000000000100000",
"000000000010000",
"000000000001000",
"000000000000100",
"000000000000010",
"000000000000001",
"000000001000000"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is 2^4.A8 < GL(15,GF(5))";