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

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"102010001002",
"212111112122",
"111000201012",
"022002210200",
"022111211010",
"111010001201",
"222002010011",
"111212112201",
"100102112222",
"121222121221",
"212002010211",
"210220120222"]);

y:=CambridgeMatrix(1,F,12,[
"020222202121",
"122122212012",
"202000111201",
"112022002001",
"121222222120",
"010012022020",
"220222112110",
"211122100112",
"100211221101",
"110022010212",
"022012120020",
"020210201121"]);

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