/*
www-ATLAS of Group Representations.
2.A8 represented as 24 x 24 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"001000000000000000000000",
"100000000000000000000000",
"000001000000000000000000",
"000000010000000000000000",
"000000000100000000000000",
"000000000001000000000000",
"000000000000010000000000",
"000000000000000100000000",
"000100000000000000000000",
"000000000000000000100000",
"000000000000000000001000",
"000000000000000000000010",
"000010000000000000000000",
"264174116512835330674133",
"777535132501030200001000",
"324821783450314753554586",
"667105010513702474742666",
"333818310823010000203000",
"850020476743876830861381",
"000000100000000000000000",
"552588113178516172240445",
"000737430704230000004020",
"111512717455556752243810"]);

y:=CambridgeMatrix(1,F,24,[
"320000000000000000000000",
"000100000000000000000000",
"000010000000000000000000",
"000000100000000000000000",
"000000001000000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000001000000",
"000000000000000000010000",
"000000000000000000000100",
"000000000000000000000001",
"716433272668667264125555",
"502355100638233852878427",
"827804307331672857656475",
"643436111702680175067647",
"430501620628772234765133",
"556233814322731854140142",
"086220055221866115827480",
"250618820104327341638122",
"537420041341877736001477",
"233417784851245846454273",
"401327425020656151044461"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is 2.A8 < GL(24,GF(9))";