/*
www-ATLAS of Group Representations.
3.M22 represented as 15 x 15 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000100000000000",
"001000000000000",
"000000100000000",
"000000010000000",
"000010000000000",
"000001000000000",
"000000000001000",
"000000000000100",
"222232320210200",
"000000001000000",
"000000000100000",
"112230303003010",
"001101013203201"]);

y:=CambridgeMatrix(1,F,15,[
"330000000000000",
"001000000000000",
"000010000000000",
"000001000000000",
"312030000000000",
"000000001000000",
"000000000100000",
"000000000010000",
"120303000202000",
"000000000000010",
"000000000000001",
"221302002000010",
"022300001303100",
"322212101302010",
"021232011212001"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is 3.M22 < GL(15,GF(4))";