/*
www-ATLAS of Group Representations.
3TE6(2).3 represented as 27 x 27 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,27,[
"310103211200130033230301021",
"321022020022110221222103321",
"232331131232033312100120303",
"211210333112130113320322011",
"302203301333020101330100320",
"323132102112000233033103201",
"010201033301312210301223203",
"022331202103132302101003323",
"310221023032331321000011320",
"012002203212213013032233101",
"231011001020120203301110312",
"020012111303211231021303313",
"000212021101131111222302101",
"002000110203232112131210212",
"332023030321303113123220112",
"312321302212110323211223130",
"233113233222003102131212112",
"120013213320200322232030221",
"133332111223201112202202001",
"032120031133102133132122320",
"333113223133022122212131300",
"010333020220022111010221303",
"210012032000232013023233022",
"130101200233213323200320221",
"112322202233230112010321031",
"010210313233001310233313322",
"202210333212230231302201232"]);

y:=CambridgeMatrix(1,F,27,[
"001000000000000000000000000",
"000100000000000000000000000",
"000010000000000000000000000",
"000001000000000000000000000",
"100000000000000000000000000",
"010000000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000000001000000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000000100000000000000000000",
"000000000000000010000000000",
"000000010000000000000000000",
"000000000000000000010000000",
"000000000000000000001000000",
"000000000000000000000010000",
"000000000000000000000001000",
"000000000000000000000000100",
"000000000010000000000000000",
"000000000000000000000000010",
"000000000000000000000000001",
"000000000000100000000000000",
"123123113302120033000022000",
"103132003331213202231202301",
"000000000000000100000000000",
"212121333313331130011130011"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is 3TE6(2).3 < GL(27,GF(4))";