The New Sudoku Players' Forum

[StrmCkr]

http://forum.enjoysudoku.com/about-red-ed-s-sudoku-symmetry-group-t6526.html

starting grid
apply these transformations specifically. { p.s include a transpose on the grid for completion}

coupled with the 9! digit re-swap the new grid then checking start grid to transformed grid for a 1:1 mapping = automorphic grid.

[Sojourner9]

Realized I just needed to check the 416 and No it is not a general rule that 7189 appears in all. So there are still 36 gyrations.
Sorry for so much thinking out loud.