Test if magic square can be created from array

Question

I am trying to write a program that checks if a magic square can be created out of an array. The array that I have to work with contains 64 elements (which would result in a 8x8 magic square).

from sympy.utilities.iterables import multiset_permutations
import numpy as np

def test_if_magic_square(input_matrix):
    # do test here to check if this is a magic square. Returns True or False


if __name__ == '__main__':
    long_array=np.array([...........])
    for p in multiset_permutations(long_array):
        result = test_if_magic_square(p)
        if result:
            print(p)

This leaves me with the very obvious problem of having to check 64! different permutations.

Magic squares have of course certain properties. If it is a magic square it is possible to rotate or reflect it, without the matrix losing its' 'magic' property. So in case I have checked a matrix it wouldn't be necessary to check the rotated or reflected version of it. This could reduce the amount of possible permutations, but it would require a way to sort out certain permutations.

Maybe someone has a good idea how I can speed up my program, so that it doesn't take forever.