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

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,27,[
"113102212000210022022202313",
"113123021000021032022203332",
"303311321033001111013220010",
"131002013002001120032011213",
"032331103333120030203011120",
"000002321221013230101110221",
"133020311021032110223220000",
"200101112002311002322233101",
"232230033033023210321012201",
"333010010122100032113121211",
"001233120102332100231303211",
"010220322110122102202000101",
"003232003330201231200021232",
"023231031203233012212012013",
"133013112313201212021011200",
"110201303100021003001231222",
"030123130020113201322001332",
"102200202022110113302220003",
"231313023331331200012211220",
"033203311230303220113001102",
"002220220310302103130110112",
"112323322332133121021030010",
"320200030110002330023113133",
"011012023032033123102102221",
"013212213113231222101031102",
"233203211001120013212033113",
"123310010030320303220211002"]);

y:=CambridgeMatrix(1,F,27,[
"230231333312210100210131002",
"112331122120100021123302132",
"100211210111012031110000301",
"022001311123021130300332130",
"103302310011012130220032332",
"113110220323123022312133020",
"223013100231320221203203311",
"213230100323121331100113101",
"311113211233100132100312033",
"320002011320022330010330301",
"213100101111121012120223233",
"131012310010022302003333032",
"300322011011311210203133131",
"320120123022103132221230333",
"000322121103210231200230310",
"111023232312230313031221300",
"231200330211213121312232110",
"030003233003032132113033002",
"133013323102033032313021212",
"010211030333200223111200130",
"003212002230330101031130012",
"321303223300132010110133000",
"321210221033020221000030030",
"221210011032201123231232302",
"132203301033012200010122031",
"200011322302132023223303123",
"223030121202022300002210300"]);

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