The automorphism groups of the groups of orders $16p$ and $16p^2$

Results of the computation of the automorphism groups for the groups of orders $16p$ and $16p^2$ are given. In some cases it has not been possible to give as complete a set of results as was done previously for the case of groups of order $8p^2$. Problems arise for those groups of the form ($C_{p} \times C_{p}$)\mathrm{@}$\G$[16]thatoccurintheorders$p\equiv 1$mod(8)and$p\equiv 7$mod(8),where$G$[16]meansanygroupoforder16.Thegroups$G$[16] in question are $C_{16}$, $D_8$, $Q{D}_8$, and $Q_4$. For the other cases, explicit presentations are presented for the automorphism groups of the groups of orders 16$p$ and 16$p^2$.