/*
www-ATLAS of Group Representations.
7^(2+1+2):GL2(7) represented as 7 x 7 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,7,[
"3000000",
"0500000",
"0020000",
"0001000",
"0000400",
"0000030",
"0000005"]);

y:=CambridgeMatrix(1,F,7,[
"1000000",
"4220000",
"0410000",
"2411000",
"1604220",
"3360410",
"6421241"]);

G<x,y>:=MatrixGroup<7,F|x,y>;
print "Group G is 7^(2+1+2):GL2(7) < GL(7,GF(7))";