This is the 177th most frequent Danish word.
alligevel
"Alligevel" means "nevertheless" or "anyway" in English.
In this sentence, 'alligevel' is used to show that the outcome was contradictory to the expectation.
Han sagde, han ikke kunne komme, men han dukkede alligevel op.
He said he couldn't come, but he showed up anyway.
Here, 'alligevel' conveys the idea that they went to the beach despite unfavorable conditions.
Det regnede, men vi besluttede alligevel at tage på stranden.
It was raining, but we decided to go to the beach anyway.
In this case, 'alligevel' is used to express a surprising or unexpected relationship or fact.