Mayo62 said: 
for that info!
It will keep me from trying a lot of impossible pollinations
You are welcome.
Some of the small-flowered diploid daylilies are self-compatible - those supposedly have some ancestry with
H. minor, for example Stella.
Tetraploid daylilies tend to be self-compatible somewhat more often than the diploids - that is apparently a by-product of being converted to tetraploid for which I have not seen any explanation.
However, even when a daylily is self-compatible the offspring suffer from strong inbreeding depression. Self-pollinating the F1 to produce the F2 is a typical step in genetic analyses. Geneticists who attempted that with daylilies, such as Arisumi, gave up trying to produce F2 generations because of the two problems of self-incompatibility and strong inbreeding depression.
Arisumi wrote <<A direct and theoretically desirable method of studying segregating populations was to self the progenies obtained in Group III. These plants, however, produced little or no seed when selfed, and the few seedlings obtained from them did not survive long enough to produce flowers. I have grown a few selfed seedlings from other crosses that were as vigorous as their parents but these were exceptions rather than the typical inbred seedlings. Stout found that incompatibilities often prevent selfing and that selfed progenies are "usually so weak from loss of heterosis that they are worthless" >>
