Daylilies do have a parent plant page but darned if I can now find it among the list! I have LOTS of images on it.
Anyway, the way I quickly get to that page you need for searching characteristics is first open the Daylily/Hemerocallis database, click on the first daylily (or any daylily) and then in that entry, click on 'The Daylilies Database' at the top.
Let me go see what's gong on.