/*
www-ATLAS of Group Representations.
2.G2(4) represented as 12 x 12 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"111222210012",
"112122221021",
"002002202222",
"101120201012",
"112122020201",
"002002101111",
"202210111201",
"212000211201",
"020010202120",
"200012001010",
"011122122202",
"201011200100"]);

y:=CambridgeMatrix(1,F,12,[
"112220010022",
"012201020101",
"111122002222",
"221202122002",
"222210221110",
"022012110111",
"222202221211",
"121200021210",
"211221102121",
"010122111101",
"120202210222",
"102100020021"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.G2(4) < GL(12,GF(3))";