/*
www-ATLAS of Group Representations.
2.S7 (isoclinic) represented as 20 x 20 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,20,[
"04000000000000000000",
"10000000000000000000",
"00004000000000000000",
"00000040000000000000",
"00100000000000000000",
"00000000040000000000",
"00010000000000000000",
"00000000000040000000",
"00000000000000400000",
"00000100000000000000",
"00000000000000004000",
"00000000000000000040",
"00000001000000000000",
"14120014041023140413",
"00000000100000000000",
"03001124033324342144",
"00000000001000000000",
"14140304003220144203",
"00000000000100000000",
"32144023321343224221"]);

y:=CambridgeMatrix(1,F,20,[
"00400000000000000000",
"00040000000000000000",
"00000400000000000000",
"00000004000000000000",
"00000000400000000000",
"00000000004000000000",
"00000000000400000000",
"00000000000004000000",
"01111100100000000000",
"00000000000000040000",
"00000000000000000400",
"00000000000000000004",
"01302101300442321312",
"30320444322040442241",
"43000230041212033044",
"04141230100141413124",
"11032043441244334022",
"24140211233014113214",
"30021334012244334414",
"01342443413433232222"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2.S7 (isoclinic) < GL(20,GF(5))";