  In this paper we produce unconditionally new instances of Galois number field
extensions exhibiting strong discrepancies in the distribution of Frobenius
elements among conjugacy classes of the Galois group. We first prove an inverse
Galois theoretic statement showing a dichotomy between ``extreme Chebyshev
biases'' and ``equal prime ideal counting''. We further introduce a group
theoretic property that implies extreme biases. In the case of abelian
extensions this leads to a complete characterization of Galois groups enabling
extreme biases. In the case where the Galois group is a $p$-group, a simple
criterion is deduced for the existence of extreme biases, and associated
effective statements of Linnik type are obtained.
