/*
www-ATLAS of Group Representations.
L3(4):2a represented as 15 x 15 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000010000000000",
"000001000000000",
"001000000000000",
"000100000000000",
"000000001000000",
"000000000010000",
"000000100000000",
"000000000000010",
"000000010000000",
"002112102201010",
"212211102100120",
"000000000100000",
"212112102000001"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"000100000000000",
"121100000000000",
"022200000000000",
"000000100000000",
"000000010000000",
"000000000100000",
"000000000001000",
"000000000000100",
"101221221210210",
"000000000000001",
"212000011012210",
"012010110021222",
"010011121002001",
"002112102022102"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is L3(4):2a < GL(15,GF(3))";