var container = MapView.Active.Map;
//the map standalone table collection
var table = container.GetStandaloneTablesAsFlattenedList()
.FirstOrDefault(tbl => tbl.Name == "EarthquakeDamage");
//or from a group layer
var grp_layer = MapView.Active.Map.FindLayers("GroupLayer1").First() as GroupLayer;
var table2 = grp_layer.FindStandaloneTables("EarthquakeDamage").First();
//or grp_layer.GetStandaloneTablesAsFlattenedList().First()
//or grp_layer.StandaloneTables.Where(...).First(), etc.
//show the table in a table view
//use FrameworkApplication.Current.Dispatcher.BeginInvoke if not on the UI thread
FrameworkApplication.Panes.OpenTablePane(table2);