/*
www-ATLAS of Group Representations.
3.L3(4):2a represented as 9 x 9 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,9,[
"010000000",
"100000000",
"000100000",
"001000000",
"220010000",
"000000100",
"000001000",
"331101110",
"330003301"]);

y:=CambridgeMatrix(1,F,9,[
"001000000",
"120000000",
"000010000",
"000001000",
"133020000",
"000000010",
"000000001",
"020330222",
"311002223"]);

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is 3.L3(4):2a < GL(9,GF(4))";