/*
www-ATLAS of Group Representations.
S5 represented as 6 x 6 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,6,[
"200000",
"001000",
"010000",
"000010",
"000100",
"000001"]);

y:=CambridgeMatrix(1,F,6,[
"010000",
"200000",
"000100",
"000001",
"010021",
"001201"]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is S5 < GL(6,GF(3))";