/*
www-ATLAS of Group Representations.
3.A7 represented as 15 x 15 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"000100000000000",
"000001000000000",
"100000000000000",
"000000001000000",
"000000000010000",
"000000000000100",
"000000000000001",
"120131322112302",
"021010301020330",
"001000000000000",
"320103220111110",
"223232233230102",
"320032313220023",
"211221012333030"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"000010000000000",
"000000100000000",
"000000010000000",
"000000000100000",
"000000000001000",
"000000000000010",
"313102202000112",
"201221020031322",
"113030323002032",
"103333112302103",
"010001100001000",
"033112213201122",
"003030223103032",
"002202311010003"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is 3.A7 < GL(15,GF(4))";