  Any Calabi-Yau threefold X with infinite fundamental group admits an \'etale
Galois covering either by an abelian threefold or by the product of a K3
surface and an elliptic curve. We call X of type A in the former case and of
type K in the latter case. In this paper, we provide the full classification of
Calabi-Yau threefolds of type K, based on Oguiso and Sakurai's work. Together
with a refinement of Oguiso and Sakurai's result on Calabi-Yau threefolds of
type A, we finally complete the classification of Calabi-Yau threefolds with
infinite fundamental group.
