The biology department has sent the following information and requests to the OSCM department: Offices $1,4,5,$ and $8$ are the only offices with windows.

A must be assigned Office $1.$

D and E$,$ the biology department co$-$chairpeople, must have windows.

H must be directly across the courtyard from D$.$

A$,$ G$,$ and H must be in the same wing.

F must not be next to D or G or directly across from G$.$

How many possible solutions $($assignments of faculty to offices$)$ satisfy all of the stated constraints?