public enum SystemTableType : System.Enum, System.IComparable, System.IConvertible, System.IFormattable  

string errorMessage = await QueuedTask.Run(() =>
{
  try
  {
    var myParcelFabricLayer = MapView.Active.Map.GetLayersAsFlattenedList().OfType<ParcelLayer>().FirstOrDefault();
    //if there is no fabric in the map then bail
    if (myParcelFabricLayer == null)
      return "There is no fabric in the map.";
    var myParcelFabricDataset = myParcelFabricLayer.GetParcelFabric();
    FeatureClass myPointsFC = myParcelFabricDataset.GetSystemTable(SystemTableType.Points) as FeatureClass;
    FeatureClass myCoonectionsFC = myParcelFabricDataset.GetSystemTable(SystemTableType.Connections) as FeatureClass;
    FeatureClass myRecordsFC = myParcelFabricDataset.GetSystemTable(SystemTableType.Records) as FeatureClass;
  }
  catch (Exception ex)
  {
    return ex.Message;
  }
  return "";
});
if (!string.IsNullOrEmpty(errorMessage))
  MessageBox.Show(errorMessage, "Get point, connection, and record feature classes.");