/*
www-ATLAS of Group Representations.
2.S7 (isoclinic) represented as 20 x 20 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,20,[
"06000000000000000000",
"10000000000000000000",
"00060000000000000000",
"00100000000000000000",
"00000060000000000000",
"00000000600000000000",
"00001000000000000000",
"00000000000600000000",
"00000100000000000000",
"00000000000000600000",
"00000000000000006000",
"00000001000000000000",
"00000000000000000006",
"42416402524336523514",
"00000000010000000000",
"53405206632204145052",
"00000000001000000000",
"52016311510341142601",
"24201113004006021355",
"00000000000010000000"]);

y:=CambridgeMatrix(1,F,20,[
"31000000000000000000",
"00600000000000000000",
"00006000000000000000",
"00000600000000000000",
"00000006000000000000",
"00000000060000000000",
"00000000006000000000",
"00000000000060000000",
"00000000000006000000",
"00000000000000060000",
"00000000000000000600",
"00000000000000000060",
"02401002000040000000",
"06130430356262645506",
"65604133246433262436",
"52003524144150233403",
"24662441146352555531",
"56232026051434500604",
"61330601561521640036",
"66556146644554126020"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2.S7 (isoclinic) < GL(20,GF(7))";