/*
www-ATLAS of Group Representations.
3.G2(3) represented as 27 x 27 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"000100000000000000000000000",
"001000000000000000000000000",
"000001000000000000000000000",
"000010000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000000000000000010000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000000000001000000",
"000000000000100000000000000",
"000000000000000000000010000",
"000000000000000000000001000",
"431643631446131264315034000",
"000000000000000100000000000",
"232660611406232351542001120",
"000000000000000001000000000",
"000000000000000000100000000",
"122066641636533223611566340",
"461132245635034101112514250",
"524352255224053501002060001"]);

y:=CambridgeMatrix(1,F,27,[
"460000000000000000000000000",
"001000000000000000000000000",
"053000000000000000000000000",
"000010000000000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000100000000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000100000000000000",
"000001000000000000000000000",
"000000000000000100000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000010000000",
"000000001000000000000000000",
"000000000000000000000100000",
"000000000100000000000000000",
"000000000000000000000000100",
"000000000000000000000000010",
"000000000000000000000000001",
"432565323000431154126646665",
"245503352151522120531261103",
"501403443061555041115052266",
"000000000000010000000000000",
"000000000000001000000000000",
"466032265413234563050045220"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is 3.G2(3) < GL(27,GF(7))";