/*
www-ATLAS of Group Representations.
L3(4) represented as 15 x 15 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000010000000000",
"000000100000000",
"001000000000000",
"000000000100000",
"000100000000000",
"000000000001000",
"000000000000100",
"000001000000000",
"000000000000001",
"000000010000000",
"000000001000000",
"112222211201120",
"000000000010000"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"000100000000000",
"000001000000000",
"000000010000000",
"000000001000000",
"100210012000000",
"000000000010000",
"122022011000000",
"020022002000000",
"000000000000010",
"110102022211101",
"121100222100110",
"021001211222121",
"121211020200000",
"211211110212210"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is L3(4) < GL(15,GF(3))";