Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with symplectic automorphism group D_6

In our papers [Nik7] — [Nik12], we classified degenerations and Picard lattices of Kählerian K3 surfaces with finite symplectic automorphism groups of high order. For remaining groups of small order: $D_6$, $C_4$, $(C_2)^2$, $C_3$, $C_2$ and $C_1$ it was not considered because each of these cases requires very long and difficult considerations and calculations. Here we consider this classification for the dihedral group $D_6$ of the order $6$.