Order 4 magic squares
At the moment this is a list of order 4 magic squares.
It's going to become a detailed article about the topic.
The characteristic masks on the left of the collapsible tables are the pattern of fields without blue or green background. They are the exclusive or of the four masks shown below each magic square.
The types named by roman numerals are the usual way to order magic squares by the position of complement pairs:
0 in corner (208 squares)
Magic sum quadruples
To be continued