Adding a comboBoxcolumn to datatable in winforms

Question How can I add a comboBoxcolumn to a dataTable and not just the grid? I tried setting the "Connector Name" column to be a comboboxcolumn , but apparently I'm not doing it right.

What I have (snippet):

  if (_DtMain.Columns.Count == 0)
            {

                var cols = new List<DataColumn>();
                cols.Add(new DataColumn("PocketName", typeof(string)));
                cols.Add(new DataColumn("KeyIndex", typeof(string)));
                cols.Add(new DataColumn("SortOrder", typeof(int)));
                cols.Add(new DataColumn("ConnectorName", typeof(DataGridViewComboBoxColumn )));
                _DtMain.Columns.AddRange(cols.ToArray());
                dataGridView1.DataSource = _DtMain.DefaultView;

            }