I faced difficulty understanding the sentence below;

(He)charged his domestics on pain of their lives to suffer nobody to pass out.

I found that the phrase "charge someone on paint of" means that they are subject to punishment.
So I suppose it means they are subject to capital punishment(their lives), but I can't understand what's given next( to suffer nobody to pass out).

Thank you so much for reading!

Presuming on the unshaken submission of Hippolita, he flattered himself that she would not only acquiesce with patience to a divorce, but would obey, if it was his pleasure, in endeavouring to persuade Isabella to give him her hand—but ere he could indulge his horrid hope, he reflected that Isabella was not to be found. Coming to himself, he gave orders that every avenue to the castle should be strictly guarded, and charged his domestics on pain of their lives to suffer nobody to pass out.
The young peasant, to whom he spoke favourably, he ordered to remain in a small chamber on the stairs, in which there was a pallet-bed, and the key of which he took away himself, telling the youth he would talk with him in the morning. Then dismissing his attendants, and bestowing a sullen kind of half-nod on Hippolita, he retired to his own chamber.