/*
www-ATLAS of Group Representations.
2.A7 represented as 8 x 8 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,8,[
"01000000",
"44000000",
"00010000",
"00440000",
"00000010",
"00000001",
"00004040",
"00000404"]);

y:=CambridgeMatrix(1,F,8,[
"44000000",
"00100000",
"00001000",
"00000100",
"10400000",
"01041011",
"40040000",
"00010004"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is 2.A7 < GL(8,GF(5))";