/* www-ATLAS of Group Representations. J2 represented as 14 x 14 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,14,[ "01000000000000", "10000000000000", "00010000000000", "00100000000000", "00000100000000", "00001000000000", "00000001000000", "00000010000000", "43030000040000", "34300000400000", "00000000000100", "00000000001000", "32232332001410", "01313200221401"]); y:=CambridgeMatrix(1,F,14,[ "00100000000000", "12300000000000", "44300000000000", "00001000000000", "03344000000000", "00000010000000", "00000000100000", "00000000010000", "00000100000000", "00000000001000", "00000001000000", "00000000000010", "00000000000001", "00000000000100"]); G:=MatrixGroup<14,F|x,y>; print "Group G is J2 < GL(14,GF(5))";