/*
www-ATLAS of Group Representations.
22.Sz(8):3 represented as 24 x 24 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,24,[
"212304410000000000000000",
"122013440000000000000000",
"221431400000000000000000",
"304412120000000000000000",
"013121120000000000000000",
"431210120000000000000000",
"444111310000000000000000",
"140222110000000000000000",
"000000000343421100000000",
"000000003442204400000000",
"000000004410322100000000",
"000000003201443400000000",
"000000004234240400000000",
"000000002024424100000000",
"000000001423042100000000",
"000000001414411300000000",
"000000000000000034444444",
"000000000000000041221402",
"000000000000000042214021",
"000000000000000042140212",
"000000000000000041402122",
"000000000000000044021221",
"000000000000000040212214",
"000000000000000042122140"]);

y:=CambridgeMatrix(1,F,24,[
"000000000000000042043142",
"000000000000000044210132",
"000000000000000024142420",
"000000000000000032204111",
"000000000000000003431421",
"000000000000000010223141",
"000000000000000024434403",
"000000000000000041114341",
"142102230000000000000000",
"022124310000000000000000",
"342314020000000000000000",
"242330110000000000000000",
"203442420000000000000000",
"122234100000000000000000",
"321332330000000000000000",
"132012310000000000000000",
"000000000122124300000000",
"000000001342102200000000",
"000000003302113100000000",
"000000001132012300000000",
"000000003242314000000000",
"000000002234223200000000",
"000000004033321400000000",
"000000003413220400000000"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is 22.Sz(8):3 < GL(24,GF(5))";