/*
www-ATLAS of Group Representations.
2.S7 represented as 8 x 8 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,8,[
"01000000",
"10000000",
"00010000",
"00100000",
"00000010",
"00000001",
"00001000",
"00000100"]);

y:=CambridgeMatrix(1,F,8,[
"01000000",
"00100000",
"00001000",
"00000100",
"00600410",
"03063000",
"06003006",
"10400300"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is 2.S7 < GL(8,GF(7))";