/*
www-ATLAS of Group Representations.
S8(2) represented as 50 x 50 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,50,[
"00012120201212000112010221012121220220121201210200",
"02102212022222101121010021200201220001010001121010",
"21020101121120101110002011002122210211022210112001",
"10100221201212200101002220200001121122011102122202",
"00002211001011200202011200020001110020100111002212",
"11102222211012111112202120020101110000120101121022",
"12121000200222201021021120100021020021111021102120",
"00202222020020122201020122001011211220101001020101",
"01111001002200220222222220122021120222101201200122",
"12121122010001220022211222022012010022100010002201",
"11212020022222211101111200211001010002120002212222",
"00020020010222212222220121200111221021100112111001",
"21101220102101122201101120012220001210120002010220",
"00001022202010111201020222110212100121210022202122",
"01112001220202200221101112011110101011000211111010",
"22211012202200021002002110101220201221210011201102",
"21020221211122221002210221200222100221122102212012",
"12101102002101111212201021212000111220202002121010",
"00022220102020100010222020002211122222012121221222",
"00112222120201011000101212001102202222101222221100",
"01012102010112201111000101101020010122112221102110",
"11001111101012222002221100021100212220100200011121",
"10021122100101122101020212220201212022200102201111",
"01111202022222122001210012022000112002021200120222",
"22101101101210222201102002212120210100202210220110",
"00221120020121102201102021022221121011222011210000",
"22112120120211120221220222221201021221000011120110",
"11100011000122110100100000001200210102211012012220",
"00011010011020102211111212022202111121222022021022",
"11002000110211210112101112102010022020202001020100",
"02200010100000220002222121102121110001101111020002",
"01201211000101112212012211021111110022100022210101",
"02211121212011101221200020102112020011122121210201",
"20100020202011000200011210102212021122012102210111",
"02201121010020222221110001212222100102000121212201",
"01200110222110110212120002001121210000122211020020",
"00112002011001221102121012211120000110012012122222",
"20202110121021011011020120102010100200020022112200",
"12011102100211122201000102111212121122110210000111",
"22111211102202101012201110000001002222021102101202",
"02002012221122102112201011122102102112202001021100",
"01021001020201010112220201210022002201220200221011",
"21201002010022100100012002011212211122021212221122",
"10121102210002012120201120110000020002212021020020",
"01002120200220121222000020011202022222122100001021",
"21020120210010021210111120220210111100202000221202",
"21100012101100100001222101121021210221000110200221",
"22100110210100210012222120112101211111012021001121",
"00010212222001201011201221220100222020111202222122",
"20222000222110001112120010201022020020101102111120"]);

y:=CambridgeMatrix(1,F,50,[
"01202112112211200220220121100110112110220112221100",
"02021021100010211200001001002001200212210202112112",
"12110010211101211122211111001212012110211111220022",
"11101011012022102020020202010122110022212101200022",
"12102200210222120212120212220002221021021201212021",
"00010200021020012112100220202110011100002202121022",
"11202011201022010022021000011101020201202001100211",
"12211101120001111212200011111220112010010022110122",
"10010010012220001020100221212122222111210100020001",
"22221101212120020110221200002200021211200212221102",
"21220112011220122220022120000001110210202111022200",
"11110222020222202011102100210222020001122021200021",
"22021120201111100112021211021221022001111102002011",
"21022221220220110120122210011021102220100002021212",
"00121200200122001020011020002201120000012200010021",
"10202120001221010211121102220010012101210212210222",
"11021222000112121020102102201000002202202021100222",
"00001101210000110111200102020010020201102212120111",
"11220122100110220000121011211212010122211022020121",
"10212210102221121000221102121111010120111110202010",
"02011010101020022122012010021002210120001212120001",
"10221100201121222001000202112220211112202020102001",
"10111112111011102122220100110120112012101012211022",
"00110200220110120121221110021021201012200102021021",
"02202002010102221100210102202210011222011011100111",
"02120200012101222021021020020202012000211212212002",
"22202100010002112112210121122121122022010012221122",
"02100122012001002002001210221211221210202002221102",
"10012120020002011100010120010212210011011001211001",
"12110021001020101021210111100101121012210100202101",
"12220202202022212200102211200000000012010022021011",
"22012212100202111100200120010202221021100220020021",
"10121222120222010121102211202012021200210022100200",
"10000211122001101000101212200211202000202012112200",
"21210121100000122020010112121120020111012020221000",
"00012220210012211202100122202101211211011012000200",
"01120011210122000000001101020201012022211101110211",
"11012201110110010101212222022221112201102202002011",
"00200200212210202110100222200211012010020010220112",
"10212202221020222022102211210022000222202112221022",
"12010120012120121200210000021221001120002122120010",
"12101200102100212110122121021220212012211021121210",
"01021110100012020021001211110001201222121102022000",
"12112110102010102112020022220112121200222010212011",
"20122110212202111102002212020222211100002102022110",
"21212222200020002210210220110110211100121212000200",
"02201212111212112100020100002100010000111222012212",
"20021222001102120010002112120121121012202010021022",
"02102101102000222012101111102121120002110011000011",
"12011020001221002112012022220210122122102112111122"]);

G<x,y>:=MatrixGroup<50,F|x,y>;
print "Group G is S8(2) < GL(50,GF(3))";