/*
www-ATLAS of Group Representations.
6.L3(4):2a represented as 6 x 6 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,6,[
"010000",
"100000",
"000100",
"001000",
"000001",
"000010"]);

y:=CambridgeMatrix(1,F,6,[
"001000",
"166000",
"600000",
"000010",
"622163",
"405112"]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 6.L3(4):2a < GL(6,GF(7))";