/*
www-ATLAS of Group Representations.
4b.L3(4) represented as 8 x 8 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,8,[
"01000000",
"10000000",
"00010000",
"00100000",
"00000010",
"00000001",
"00001000",
"00000100"]);

y:=CambridgeMatrix(1,F,8,[
"10000000",
"00100000",
"00001000",
"00000100",
"02202000",
"02002210",
"22022200",
"11000211"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is 4b.L3(4) < GL(8,GF(3))";