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https://en.wikipedia.org/wiki/Mathematics_of_Sudoku#Enumerating_Sudoku_solutions https://en.wikipedia.org/wiki/Mathematics_of_Sudoku#Enumerat... I believe these

by jepler 6y ago

https://en.wikipedia.org/wiki/Mathematics_of_Sudoku#Enumerating_Sudoku_solutions https://en.wikipedia.org/wiki/Mathematics_of_Sudoku#Enumerat... I believe these ways of relabeling you mention are all taken into account when numbering the "essentially different" puzzle configurations.