/*
www-ATLAS of Group Representations.
S4(5):2 represented as 24 x 24 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"100000000000000000000000",
"000010000000000000000000",
"000001000000000000000000",
"001000000000000000000000",
"000100000000000000000000",
"000000001000000000000000",
"000000000100000000000000",
"000000100000000000000000",
"000000010000000000000000",
"000000000000100000000000",
"000000000000010000000000",
"000000000010000000000000",
"000000000001000000000000",
"000000000000000001000000",
"000000000000000000100000",
"110101101000000110100000",
"000000000000001000000000",
"000000000000000100000000",
"011110101010110111101100",
"000000000000000000000010",
"011110000011101010010010",
"000000000000000000001000",
"000101011101000001111101"]);

y:=CambridgeMatrix(1,F,24,[
"001000000000000000000000",
"000100000000000000000000",
"110110000000000000000000",
"000000100000000000000000",
"101100100000000000000000",
"000000010000000000000000",
"010000000000000000000000",
"001011110000000000000000",
"000000000010000000000000",
"000000000001000000000000",
"000000001010000000000000",
"000000000000001000000000",
"000000000000000100000000",
"000000000000000010000000",
"000000000100000000000000",
"000000000000000000010000",
"011110000000010010000000",
"000000000000000000001000",
"000000000000000000000100",
"000000000000100000000000",
"000000000101001001001000",
"000000000101101100110100",
"000000000000000000000001",
"000000000000000000000011"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is S4(5):2 < GL(24,GF(2))";