No, you can not put a cutting board in the dishwasher. However, it’s a good idea to put the regular cutting boards into the dishwasher after using them to chop raw meat.
Typically, wooden cutting/chopping boards shouldn’t be put into the dishwasher. The mix of extreme heat plus water can cause them to deform or crack. Also, if you continue using them for chopping raw meat, moisture and germs may become trapped in the crevices inside the wood.
So, in this case, you should rinse your  Wooden cutting boards with plain water or hand-washed right after use,   But don’t dunk them into the water for so long.