/*
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",
"258138115612476770538177",
"333676172601070200001000",
"728421347860718367668645",
"553106010617302838382555",
"777414710427010000207000",
"460020835387435470451741",
"000000100000000000000000",
"662644117134615132280886",
"000373870308270000008020",
"111612313866665362287410"]);

y:=CambridgeMatrix(1,F,24,[
"720000000000000000000000",
"000100000000000000000000",
"000010000000000000000000",
"000000100000000000000000",
"000000001000000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000001000000",
"000000000000000000010000",
"000000000000000000000100",
"000000000000000000000001",
"315877232554553258126666",
"602766100574277462434823",
"423408703771532463565836",
"587875111302540136053583",
"870601520524332278356177",
"665277418722371468180182",
"045220066221455116423840",
"260514420108723781574122",
"673820081781433375001833",
"277813348461286485868237",
"801723826020565161088851"]);

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