/*
www-ATLAS of Group Representations.
G2(5) represented as 27 x 27 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"000100000000000000000000000",
"001000000000000000000000000",
"000001000000000000000000000",
"000010000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000000000000100000000000000",
"000000000000010000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000000010000000000",
"000000000000000000100000000",
"000000000000001000000000000",
"000000000000000000000100000",
"000000000000000100000000000",
"000000000000000000000001000",
"000000000000000000000000100",
"000000000000000001000000000",
"143241312424310103424213100",
"000000000000000000010000000",
"000000000000000000001000000",
"144141114414413024002100310",
"230000223313423324221103401"]);

y:=CambridgeMatrix(1,F,27,[
"340000000000000000000000000",
"001000000000000000000000000",
"112000000000000000000000000",
"000010000000000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000100000000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"021240014000000000000000000",
"000001000000000000000000000",
"234401200400000000000000000",
"000000000000001000000000000",
"000000000000000100000000000",
"000000000000000001000000000",
"000000000000000000010000000",
"000000000000000000001000000",
"000000000000100000000000000",
"000000000000000000000010000",
"000000000000010000000000000",
"000000000000000000000000010",
"000000000000000000000000001",
"112220220132123221331303121",
"023342103033211001412322243",
"014233330322031231033401323",
"000000000000000010000000000",
"143241312424310103424213100"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is G2(5) < GL(27,GF(5))";