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The concept of Artin transfer pattern$((\ker(T_{K,N_i}))_i,(\mathrm{Cl}_p(N_i))_i)$ for homogeneous multiplets$(N_1,\ldots,N_m)$ of unramified cyclic prime degree p extensions $N_i/K$ of abase field K with p-class transferhomomorphisms$T_{K,N_i}:\,\mathrm{Cl}_p(K)\to\mathrm{Cl}_p(N_i)$ is generalizedfor heterogeneous multiplets of ramified extensions. By application toquadratic subfields K of dihedral fields N of degree 2p with an odd prime p, aconjecture of Scholz concerning the index of subfield units, $(U_N:U_0)$, forramified extensions N/K with conductor f>1 is verified computationally.

Generalized Artin pattern of heterogeneous multiplets of dihedral fields and proof of Scholz's conjecture