/*
www-ATLAS of Group Representations.
A12 represented as 10 x 10 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,10,[
"0100000000",
"0001000000",
"1012000000",
"1000000000",
"1200100000",
"2100010000",
"2001001000",
"0201000100",
"1200000010",
"2001000001"]);

y:=CambridgeMatrix(1,F,10,[
"0010000000",
"0000100000",
"0000010000",
"1200100000",
"0000001000",
"0111201000",
"0000000100",
"0000000010",
"0000000001",
"1202022112"]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is A12 < GL(10,GF(3))";