/*
www-ATLAS of Group Representations.
L3(3):2 represented as 27 x 27 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"000100000000000000000000000",
"001000000000000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000010000000000000000000000",
"000001000000000000000000000",
"001220101000000000000000000",
"000000000000100000000000000",
"000000000000001000000000000",
"000000000000000010000000000",
"000000000100000000000000000",
"002120100000010000000000000",
"000000000010000000000000000",
"000000000000000000010000000",
"000000000001000000000000000",
"002121120012002111020000000",
"000000000000000000000001000",
"000000000000000100000000000",
"121112211120022100102011000",
"212001021220222200021112000",
"211221120100200100020010000",
"000000000000000000100000000",
"000000000000000000000000010",
"000000000000000000000000100",
"002221220010012022010000222"]);

y:=CambridgeMatrix(1,F,27,[
"001000000000000000000000000",
"022000000000000000000000000",
"000010000000000000000000000",
"000001000000000000000000000",
"102010000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000010000000000000",
"000000000000000100000000000",
"000100000000000000000000000",
"000000000000000001000000000",
"112122101202010000000000000",
"000000000000000000100000000",
"000000000000000000001000000",
"000000000000000000000100000",
"000000000000000000000010000",
"000000000000000000000000100",
"102100102210100210010220000",
"000000010000000000000000000",
"012011202110200122000100000",
"212002112102010122002210000",
"202212211111002002102101000",
"000000000000000000000000001",
"201020000220210221000220010",
"000000000000001000000000000"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is L3(3):2 < GL(27,GF(3))";