/*
www-ATLAS of Group Representations.
S7 represented as 8 x 8 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,8,[
"10000000",
"00100000",
"01000000",
"00000100",
"00000001",
"00010000",
"02343112",
"00001000"]);

y:=CambridgeMatrix(1,F,8,[
"01000000",
"00010000",
"00001000",
"00000010",
"44444000",
"41240230",
"43131023",
"34233101"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is S7 < GL(8,GF(5))";