/*
www-ATLAS of Group Representations.
2.A6 represented as 20 x 20 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"40000000000000000000",
"30440000000000000000",
"23210000000000000000",
"00000010000000000000",
"00000000100000000000",
"00004000000000000000",
"00000000000100000000",
"00000400000000000000",
"00000000000001000000",
"00000000000000100000",
"00000004000000000000",
"00000000000000000100",
"00000000040000000000",
"00000000004000000000",
"23233303043011003321",
"04232123331314201320",
"00000000000040000000",
"11230130333214104340",
"40144001211431444410"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"00001000000000000000",
"00000100000000000000",
"00000001000000000000",
"00000000010000000000",
"00000000001000000000",
"40000000000000000000",
"00000000000010000000",
"04000000000000000000",
"00000000000000010000",
"00000000000000001000",
"00000000000000000010",
"00000000000000000001",
"00433200004124000000",
"30231402014143140032",
"20002443403102411101",
"00323400003402000000",
"40114300040030021303",
"43112023000042323320"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2.A6 < GL(20,GF(5))";