Hi GiacomoAmbrogio ,
I have attached the properties output file below so you can take a look. If there is anything else you want to check let me know.
hBN.outp
The main issue that I have is that, for instance, the set of eigenvalues at K= 91 ( 10 10 0) (which starts at line 2396 of the file) has labels that corresponds to the irrep of each band at that k point. You will find that in that same file, there is a list of character tables. However, the labels of the irreps that appear in the last character table is not the same as the labels that appear in the last set of eigenvalues. In general it seems that the n-th character table that appears does not contain the same irreps as the n-th set of eigenvalues. In other words, I do not know to what k-point each character table is referring to in order to properly identify the irreps.