The dishwasher goes through full cycle but won't drain. It makes a clicking noise during drain cycle. There does't appear to be a clog in the hose itself . A round flat rubber piece did come out when my husband blew into hose. Before that he was able to suck water out(yuck).

The click sound might be the drain valve that opens up with a selonoid. The selonoid makes the click sound. That rubber piece came from someplace and that could be the drain valve.