/*
www-ATLAS of Group Representations.
2.HS represented as 28 x 28 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,28,[
"0400000000000000000000000000",
"4000000000000000000000000000",
"0004000000000000000000000000",
"0040000000000000000000000000",
"0000004000000000000000000000",
"0000000040000000000000000000",
"0000400000000000000000000000",
"0000000000040000000000000000",
"0000040000000000000000000000",
"0000000000000400000000000000",
"0000000000000004000000000000",
"0000000400000000000000000000",
"0000000000000000004000000000",
"0000000004000000000000000000",
"0000000000000000000004000000",
"0000000000400000000000000000",
"0000000000000000000000004000",
"0000000000000000000000000040",
"0000000000004000000000000000",
"2233030232424224124102001020",
"1342022222324143444423404242",
"0000000000000040000000000000",
"4230144144410024020143200323",
"0302200300134121044143110343",
"0000000000000000400000000000",
"1314431331030030300412403302",
"0000000000000000040000000000",
"0440024023000140300322303400"]);

y:=CambridgeMatrix(1,F,28,[
"0010000000000000000000000000",
"0440000000000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"0000000100000000000000000000",
"0000000001000000000000000000",
"0000000000100000000000000000",
"1210400100000000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0000000000000000000100000000",
"0000000000000000000010000000",
"0000000000000000000000100000",
"0000000000000000000000010000",
"0000000000000000000000000100",
"0000000000000000000000000001",
"1343421121312124232400121210",
"0432200210323220324402413312",
"2143413230442324141331433121",
"3032023040241003303344323020",
"0001000000000000000000000000",
"1211004231130314101333340210",
"1030144210101340013140123043",
"3002204302143420102101212403",
"4340201322241022211340424043",
"4413131123111200323124221320"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 2.HS < GL(28,GF(5))";