/*
www-ATLAS of Group Representations.
3.O7(3) represented as 27 x 27 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,27,[
"230132131003231220011030231",
"010130130203230220011030231",
"303100130301131230121001332",
"013202132212210320020310121",
"302110130301131230121001332",
"110023102203130231101133313",
"323300033012211320020310121",
"003023203111031301331133121",
"220311112232322103232113213",
"110022102303130231101133313",
"012232133030202212320213321",
"123002312210302213021102120",
"003023213111131301331133121",
"332112203131011331030103003",
"000310110332320103232113213",
"203221332321113101120222021",
"221112132200131012202312302",
"203333312033232113031212221",
"112120020213220220330103011",
"332003233231303320130000121",
"122013113113213323031031132",
"101011232232200300330112320",
"223203210103112221110211030",
"002023322120213013020001110",
"101011232232200300330012220",
"322000202001010110201121203",
"103003300101223103113330032"]);

y:=CambridgeMatrix(1,F,27,[
"222330102023312200223331100",
"133332100300002100212101210",
"102111302213100323232331101",
"220103100232032322030021113",
"300303112313303220200101010",
"032010103013120022313313121",
"232232303221122322230213123",
"132000232210301313113202302",
"210222033133002101220112001",
"302320211011323010132223012",
"032131102320111301101003002",
"123031203000303220132303203",
"301300110022320222113330311",
"020302020020322322230301000",
"320212310232111122210231330",
"102323031201200023323211020",
"200333302300201022033212213",
"020232233231220313133310020",
"002032222301231203112132313",
"323112313103201010032323002",
"030002123112003201311321320",
"203232113032323012302123202",
"022000213000303121112232222",
"103101133021212022021032102",
"300303010113113320202232210",
"321013011233123003220021110",
"020013320300211303230200023"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is 3.O7(3) < GL(27,GF(4))";