>
> Does anyone know if there are routines for computing Galois groups of
> polynomials in Maxima.
>
>
I noticed sage can do it.
sage: G=(x^5+x^4+2).galois_group()
sage:len(G)
120
It comes from GAP. I think you can also ask it to use
pari, but I didn't try (I am assuming you would prefer using free software
instead of Mathematica or Maple).
Regards,
Michel