/*
www-ATLAS of Group Representations.
G2(4).2 represented as 28 x 28 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0001000000000000000000000000",
"0010000000000000000000000000",
"0000001000000000000000000000",
"0000000100000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"1111101010000000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000001000000000000000000",
"0000000000000000001000000000",
"0000000000100000000000000000",
"0000000000000000000001000000",
"0000000000010000000000000000",
"0000000000000000000000001000",
"0000000000000100000000000000",
"0000000000000000000000000001",
"0101001100010001111110011100",
"0000000000000001000000000000",
"0100000101111011111110100010",
"1000111110110111101111001111",
"0000000000000000010000000000",
"0111000010110010100010011010",
"1001011000010100100001010111",
"0000000000000000000100000000"]);

y:=CambridgeMatrix(1,F,28,[
"0010000000000000000000000000",
"0110000000000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"1010100000000000000000000000",
"0000000010000000000000000000",
"0000000001000000000000000000",
"0000000000100000000000000000",
"0000000000010000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0001000000000000000000000000",
"0000000000000000010000000000",
"0000000000000000000100000000",
"0000000000000000000010000000",
"0000000000000000000000100000",
"0000000000000000000000010000",
"0000000000000000000000000100",
"0000000000000000000000000010",
"0000001000000000000000000000",
"0101111001001010010011010000",
"1101010101101011011001001010",
"0000000100000000000000000000",
"0001100110101101001001001110",
"1011010000000100010011000101",
"0000001001001100010100000100",
"1001110001100111110000100111",
"1000110011100100011010010110"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is G2(4).2 < GL(28,GF(2))";