From the AHS Daylily Dictionary:
"Terms FAN, DIVISION, and RAMET are interchangeable. Each refers to an individual unit of a clump, containing leaves, crown, and roots. Within a clump, each fan is genetically identical to the parent. Also see: Division, Ramet."
"Rebloom" from the registration instructions:
"Some daylily cultivars have more than one cycle of bloom during a single season. These are known as reblooming or recurrent daylilies. Some of these bloom early, have a rest period, and then rebloom. Others have a succession of bloom periods, one after another for several months. Cultivars which repeat in one location may not do so in another, as repeat bloom is often influenced by climate and weather conditions. Check the "yes" box only if your daylily reblooms in your garden."