5th (!) post in a row…
The centers of every galaxy are marked on the grid. The galaxies all have two-fold (180°) rotational symmetry.
Each galaxy has either two stars or no stars. The stars need not be symmetrically placed. A black dot indicates that the galaxy has two stars in it, a crossed out white dot indicates that the galaxy has no stars. Normal white dots can be either.
Additionally, every row and column has two stars in it, and the stars don’t touch even diagonally.