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

F<w>:=GF(4);

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

y:=CambridgeMatrix(1,F,8,[
"00100000",
"01100000",
"00001000",
"00000100",
"10101000",
"20311000",
"23330121",
"33020122"]);

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