/*
www-ATLAS of Group Representations.
2.A8 represented as 48 x 48 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"220000000000000000000000000000000000000000000000",
"102200000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"011201000000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"000000001000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000000010",
"011212001102201210102101001201100011022221212020",
"021210220010210101012201211011000102011000112111",
"000000000100000000000000000000000000000000000000",
"122022020000200201121120011101021211000121120011",
"022111220122000012102202012001220022111112121010",
"020020022110212002012120211201202020221111021010",
"012011020201110012011202200101100001000101220222",
"022201022201102020121101011002100001222221212020",
"212012022101011221121022102001222202202211200001",
"000000000001000000000000000000000000000000000000",
"111222011022001021121101201002012122002200120022",
"000110020201020020201101012002200022010112021010",
"000122001102121012001020100201011020001200210000",
"011022122112222010102022020001000000200020200000",
"111202122220110022012122010100222001100101222010",
"000000000000010000000000000000000000000000000000",
"021010011121120222210212121001021022021211002000",
"000110120110020010000201212001200022211112020010",
"022120002111210202121222100101020012201210212021",
"000000002100012010000001022001000000000000100020",
"202212022211112201102020200000222211110010000200"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"001001011102101122000000202222221201002212001200",
"000000000000000000000000000000000000000000000001",
"022111121101202201201220221011000220212200000220",
"200010110201220201120201221001012112121112111220",
"100001002200222120012200022121010211000012011100",
"122122111022101012200020020022120220212202112010",
"200222122010212201201221102021212222200221210101",
"020212111201201100210100202201222210022011202122",
"021022000011101221102210012212122222220101020110",
"102110011011101222222222100011222222012112011221",
"002212201102220022202001122122122022010022002001",
"002122112011000111212002121111212210010022211120",
"210202112020221101111222012201110101201022200222",
"021202010211222111000220122021021020110221210201",
"102110210012012220020212212000020212102022020110",
"200010001222121211220220211011002021121002110112",
"020121110101221022121120212101212000010112001212",
"120001112011221120100120102221210022200120221022",
"000212100000200112101220121012021010101012002202",
"100211212120000121020200102012021211220111102110",
"100001011210111210221122121221010112211020211101",
"211111001021011202012012220212111010210121101122",
"000020011200122012011121121111100112202102220220"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is 2.A8 < GL(48,GF(3))";