There's no "Album can be viewed by" field in Album Permissions. I've looked all over the Docs, FAQs, and boards (old/1.1.x/1.2); the few posts about this problem just say it has something to do with the permissions of groups, but don't mention what.
Here's what I'm doing: logging in as an admin > 'Album List' > 'PROPERTIES' next to any album. The three yes/no fields for Visitors appear, but not the "Album can be viewed by" field that I see in the picture of Album Properties in the Online Manual.
I have one other group besides the default four, and three users who are in that group. The field is missing whether the album is in a category or not. I'm trying to get it so one album (or, even better, a whole category, but I don't think that's possible) and the pictures in it can be viewed only by logged-in members of that one group.
Permissions for the group in question are: Rate (yes), eCards (no), comments (yes), upload (yes), pub. approval (no), personal gallery (yes), priv. approval (no).
Permissions for Registered are: Rate (yes), eCards (no), comments (yes), upload (yes), pub. approval (yes), personal gallery (no), priv. approval (no).
Permissions for Anonymous are: Rate (yes), eCards (no), comments (yes), upload (no), pub. approval (yes), personal gallery (no), priv. approval (yes).
(Coppermine 1.2 installed at
http://maltp.com/gallery/, hosted by
http://intersessions.com/ which uses PHP 4.3.3, Apache/1.3.27, GD bundled/2.0.15 compatible, MySQL 3.23.49.)