/* www-ATLAS of Group Representations. 2.O8-(3) represented as 16 x 16 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,16,[ "0100000000000000", "2000000000000000", "0000100000000000", "0000010000000000", "0020000000000000", "0002000000000000", "0000000001000000", "0000000000010000", "0000000000001000", "0000002000000000", "0000000000000001", "0000000200000000", "0000000020000000", "0100002112111112", "1200000002111120", "0000000000200000"]); y:=CambridgeMatrix(1,F,16,[ "0010000000000000", "0001000000000000", "2000000000000000", "0000001000000000", "0000000100000000", "0000000010000000", "0000000000100000", "1212101000100000", "0000000000000100", "0000000000000010", "0100000000000000", "0022010220022020", "0111020221121122", "2011120222000011", "1000000001000000", "1222110212100110"]); G:=MatrixGroup<16,F|x,y>; print "Group G is 2.O8-(3) < GL(16,GF(3))";