/*
www-ATLAS of Group Representations.
A6 represented as 8 x 8 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,8,[
"40000000",
"00100000",
"01000000",
"00001000",
"00010000",
"00000001",
"02341010",
"00000100"]);

y:=CambridgeMatrix(1,F,8,[
"01000000",
"40000000",
"00010000",
"00000100",
"00000010",
"02341010",
"20120140",
"21042321"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is A6 < GL(8,GF(5))";