1606 reapeating patterns

There are 1606 repeating patterns which implies that further choices must be made.

These can be conveniently divided into five further groups according to the type of rotations in the pattern. A repeat pattern can have rotations of order 6, 4, 3, 2 or none.

For rotations of order 6 an example is:
(Note the point with six shapes meeting at a point - there are also other point with rotations of order 3.)

For rotations of order 4 an example is:
For rotations of order 3 an example is:
For rotations of order 2 an example is:
For a pattern with no rotations an example is: