/*
www-ATLAS of Group Representations.
SL2(7) represented as 6 x 6 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,6,[
"010000",
"600000",
"000100",
"006000",
"000001",
"000060"]);

y:=CambridgeMatrix(1,F,6,[
"060000",
"001000",
"600000",
"000010",
"642352",
"000002"]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is SL2(7) < GL(6,GF(7))";