/*
www-ATLAS of Group Representations.
6.A7 represented as 24 x 24 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"344000000000000000000000",
"141000000000000000000000",
"000001000000000000000000",
"000000010000000000000000",
"000000000100000000000000",
"000000000001000000000000",
"000000000000010000000000",
"000000000000000100000000",
"000100000000000000000000",
"000000000000000000100000",
"000000000000000000001000",
"000000000000000000000010",
"000010000000000000000000",
"214123103304034102201000",
"041302314423413032444330",
"043314123322033110041431",
"431120333202002304304000",
"103440311232210140022440",
"331302113121122212402341",
"000000100000000000000000",
"121221411043013420403211",
"322130241343121021101340",
"220414222012023234442210"]);

y:=CambridgeMatrix(1,F,24,[
"001000000000000000000000",
"000100000000000000000000",
"000010000000000000000000",
"000000100000000000000000",
"000000001000000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000001000000",
"000000000000000000010000",
"000000000000000000000100",
"000000000000000000000001",
"220303143110444430343330",
"043314422212302322311423",
"222042023314230144142134",
"100000000000000000000000",
"223102222324322324224010",
"243403342414033431133244",
"012403422444303301123340",
"024304044033443133111124",
"442221232033311341433122",
"144214213042203424341130",
"010000000000000000000000"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is 6.A7 < GL(24,GF(5))";