You can customize the look and feel of your Payments List by editing the the columns and column order. To move any of the columns, hover to the left of any column header to reveal a double-dotted line:
Click and drag on the double-dotted line to re-position the column. You can also adjust the columns by clicking Edit Table:
This opens the Edit Table overlay:
On the left you can remove columns by clicking the "x" or drag and drop the double arrows to re-position the columns. On the right is the list of all available columns. Anything that is already selected will have a green check next to it. You can select additional columns one by one or click Add all to add all columns. When you're finished editing, click Save.
However you edit the table, this will remain regardless of the current filter view.