/*
www-ATLAS of Group Representations.
3.A7 represented as 12 x 12 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"110000000000",
"000100000000",
"000001000000",
"000000010000",
"001000000000",
"110010110000",
"001111010000",
"011110011000",
"000000000001",
"000001010111",
"011000101101"]);

y:=CambridgeMatrix(1,F,12,[
"100000000000",
"001000000000",
"000010000000",
"000000100000",
"000000001000",
"000101100000",
"000000000100",
"000000000010",
"111111001000",
"011100010010",
"010010010100",
"011110111111"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 3.A7 < GL(12,GF(2))";