/*
www-ATLAS of Group Representations.
S6(2) represented as 34 x 34 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,34,[
"0100000000000000000000000000000000",
"1000000000000000000000000000000000",
"0001000000000000000000000000000000",
"0010000000000000000000000000000000",
"0000001000000000000000000000000000",
"0000000010000000000000000000000000",
"0000100000000000000000000000000000",
"0000000000010000000000000000000000",
"0000010000000000000000000000000000",
"0000000000000010000000000000000000",
"0000000000000000100000000000000000",
"0000000100000000000000000000000000",
"1200102001001020000000000000000000",
"0000000000000000000010000000000000",
"0000000001000000000000000000000000",
"0000000000000000000000010000000000",
"0000000000100000000000000000000000",
"2121000100020000010000000000000000",
"0012221010100002201000010000000000",
"0000000000000000000000000001000000",
"0000000000000100000000000000000000",
"2112122010000102000021010000000000",
"0000221111120020200100100002000000",
"0000000000000001000000000000000000",
"1212102102220110100120001002000000",
"1212010122120012200200010101000000",
"1212201000000001000000020010000000",
"0000000000000000000100000000000000",
"0000211120020101000120020002100000",
"1212201000000001000000020000010000",
"0021201201210120100120000002001000",
"1212112122220111100020020000000100",
"0000000000000000000100000002000010",
"1212211020000201000010020000000001"]);

y:=CambridgeMatrix(1,F,34,[
"0010000000000000000000000000000000",
"0220000000000000000000000000000000",
"0000100000000000000000000000000000",
"0000010000000000000000000000000000",
"0000000100000000000000000000000000",
"0000000001000000000000000000000000",
"0000000000100000000000000000000000",
"0000000000001000000000000000000000",
"0000000000000100000000000000000000",
"0000000000000001000000000000000000",
"0000000000000000010000000000000000",
"0000000000000000001000000000000000",
"0000000000000000000100000000000000",
"0000000000000000000001000000000000",
"0000000000000000000000100000000000",
"0000000000000000000000001000000000",
"0000000000000000000000000100000000",
"0000000000000000000000000010000000",
"1001001000021010020100000000000000",
"1210200100002000000100000000000000",
"0000000000000000000000000000100000",
"0000000000000000000000000000010000",
"0000000000000000000000000000001000",
"0000000000000000000000000000000100",
"0000000000000000000000000000000010",
"0000000000000000000000000000000001",
"0101220011201102120000120110111102",
"0221201100212021112220201201001200",
"0221211111020000201202210002202001",
"0202000002100010121001000101221210",
"2021221210000211022222021010211101",
"0222202212002212112112121021110010",
"1001112112200111211220221022112022",
"0212201011000010200202111000220002"]);

G<x,y>:=MatrixGroup<34,F|x,y>;
print "Group G is S6(2) < GL(34,GF(3))";