/*
www-ATLAS of Group Representations.
M12:2 represented as 34 x 34 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,34,[
"0100000000000000000000000000000000",
"1000000000000000000000000000000000",
"0001000000000000000000000000000000",
"0010000000000000000000000000000000",
"0000010000000000000000000000000000",
"0000100000000000000000000000000000",
"0000000010000000000000000000000000",
"0000000001000000000000000000000000",
"0000001000000000000000000000000000",
"0000000100000000000000000000000000",
"0000000000000100000000000000000000",
"0000000000000010000000000000000000",
"0000000000000000100000000000000000",
"0000000000100000000000000000000000",
"0000000000010000000000000000000000",
"0000000000000000000010000000000000",
"0000000000001000000000000000000000",
"0000000000000000000000100000000000",
"0000000000000000000000010000000000",
"0000000000000000000000000100000000",
"0000000000000001000000000000000000",
"0000000000000000000000000000100000",
"0000000000000000010000000000000000",
"0000000000000000001000000000000000",
"0000212211122212100212001100100000",
"0000000000000000000100000000000000",
"2100210000100200002000010010000000",
"2021001202212010120112111001221100",
"0000000000000000000001000000000000",
"0000000000000000000000000000000001",
"0221122021202021100101011000012101",
"1212001020122212102212010100100100",
"0121000220012100100022022200012210",
"0000000000000000000000000000010000"]);

y:=CambridgeMatrix(1,F,34,[
"0010000000000000000000000000000000",
"0220000000000000000000000000000000",
"1210000000000000000000000000000000",
"0000100000000000000000000000000000",
"0000001000000000000000000000000000",
"0000000100000000000000000000000000",
"0001000000000000000000000000000000",
"0000000000100000000000000000000000",
"0000000000010000000000000000000000",
"0000000000001000000000000000000000",
"0000010000000000000000000000000000",
"0000000000000001000000000000000000",
"0000000000000000010000000000000000",
"0000000000000000001000000000000000",
"0000000000000000000100000000000000",
"0000000010000000000000000000000000",
"0000000000000000000001000000000000",
"0000000001000000000000000000000000",
"0000000000000000000000001000000000",
"0000000000000000000000000010000000",
"0000000000000000000000000001000000",
"0000000000000000000000000000010000",
"0000000000000000000000000000001000",
"0000000000000000000000000000000100",
"0000000000000100000000000000000000",
"0000000000000000000000000000000010",
"0000000000000010000000000000000000",
"2121000001000002000000000000100000",
"1000200010002000000010000000000000",
"0000000000000000100000000000000000",
"1010202011010000100011200001112000",
"0002222200200100001000021000000200",
"1110202001021110001211002112210222",
"0212011121111000112212011112000221"]);

G<x,y>:=MatrixGroup<34,F|x,y>;
print "Group G is M12:2 < GL(34,GF(3))";