hot to get a functionfield'galois_group?

edit

is there a table about functionfield'galois_group? only numberfield'galois_group at lmfdb.org

K.<x> = FunctionField(QQ); R.<y> = K[];L.<y> = K.extension(y^5 - x);L;LL.<z> = L[];LL.<z> = K.extension(z - x-y);LL

Function field in y defined by y^5 - x
Function field in z defined by z - y - x


K.maximal_order(); K.galois_group()

Maximal order in Rational function field in x over Rational Field
Traceback (most recent call last):