I checked and it actually works for
- columns of 4 rotated + column 48 rotated.
- columns of 8 rotated + column 24 rotated.
- columns of 12 rotated + column 16 rotated.
And the reverse of:
- columns of 16 rotated + column 12 rotated.
- columns of 24 rotated + column 8 rotated.
- columns of 48 rotated + column 4 rotated.