Is hydrocodone a generic brand for vicodin? im taking hydrocodone for some wisdom teeth that were removed?

and im looking up side effects to see if its whats making me itchy... but when i google it i see vicodin... whats up with that? any other warnings that you might have for those who are familar with taking it would be apprecciated.. thank you
Update: i read the warnings but it didnt say anything about itching... thats why i was looking it up
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