/*
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",
"222000000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"002102000000000000000000000000000000000000000000",
"001110000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000220202000200000000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000010000000000",
"000000001000000000000000000000000000000000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000010",
"100010220120000121200201000201020011212121211102",
"022020022002211112221010110011010122001202220011",
"000000000010000000000000000000000000000000000000",
"221002010010222112100002200222202202202222222010",
"012022001211200020102110010002112102212110220001",
"000220011121010120020012120002002002211100201212",
"102010020201221210221210022210022212020100112110",
"211220022101001000210000201202110002222112210221",
"000000000000100000000000000000000000000000000000",
"020100200222001000100210202120121110101101100221",
"000120111001002120002010010011210222111201020122",
"221001221022020200020020112211002102002001111201",
"010101221122012220210121110001210201111201101202",
"020210001221100210020102011201120112110202002002",
"001110100010120122020021121211012120202221200002",
"000000000000001000000000000000000000000000000000",
"222111211100211120001201202002002021222120022102",
"001101120201110011212120121002110120112211111011",
"102020212102011012010121200202202202120011102222",
"000212010200202011110220200210222220212200221110",
"210212121110212110220221000121201121120222122022"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000001",
"002012010102202120121000021210111001012022110220",
"222012211010102012120012122222012100000221102102",
"020120100221012000211122002102101001201012020121",
"110022121102212222110201022101022121210211102101",
"120120112022121022120202011222010212110102110010",
"120120112212121220020110000021012020021200200102",
"021000102100211010102112002212002121202011101220",
"120011211122101202200000121222011202221002110022",
"222012120210012110122211210022102102122221020110",
"211210001120211212001011212221101010010110200101",
"101112022011021102100010222222002122000020211202",
"100000000000000000000000000000000000000000000000",
"001211110000122211010211221212001210212120102020",
"222221200002102020021121211222012210022010200202",
"102102210101112020100110112101102221022210121221",
"010212221111202022100220102011122222011211111210",
"000000001000202200022222010222002011121021101100",
"000201000010102202120002110012200011001001111020",
"020110022220120222220222102121212102111000022100",
"211010121202101021221201212211111220011220121212",
"010211100010022101121112002221202122021100222212"]);

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