Setting for Filters and Groupings can be stored in Views. Views can Private and only visible to the user creating the View or Public and can be accessible to all users.
To Create a view filter the data (1) in the Table and Click on Advanced (2) and Save this View (3).
Type a Title (1), and check Make this view Public (2) and Make this view default for everybody (3).
If multiple views have been defined a dropdown will appear at the Top (1):
To Modify Views Click Advanced (1) and Manage Views (2). Changing already saved views can be modified within this Dialog.