/*
www-ATLAS of Group Representations.
L3(5) represented as 8 x 8 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,8,[
"01000000",
"00100000",
"10000000",
"00000100",
"00000010",
"00000001",
"22224242",
"00010000"]);

y:=CambridgeMatrix(1,F,8,[
"34000000",
"00010000",
"00001000",
"32000000",
"44442000",
"41341013",
"12302010",
"40320322"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is L3(5) < GL(8,GF(5))";