  Explicit expressions for the transfers \(V_i\) from a metabelian p-group G of
coclass cc(G)=1 to its maximal normal subgroups \(M_i\) \((1\le i\le p+1)\) are
derived by means of relations for generators. The expressions for the
exceptional case p=2 differ significantly from the standard case of odd primes
\(p\ge 3\). In both cases the transfer kernels \(Ker(V_i)\) are calculated and
the principalisation type of the metabelian p-group is determined, if G is
realised as the Galois group \(Gal(F_p^2(K) | K)\) of the second Hilbert
p-class field \(F_p^2(K)\) of an algebraic number field K. For certain
metabelian 3-groups G with abelianisation \(G/G^{\prime}\) of type (3,3) and of
coclass \(cc(G)=r\ge 3\), it is shown that the principalisation type determines
the position of G on the coclass graph G(3,r) in the sense of Eick and
Leedham-Green.
