Is there a way we can configure the same forum for multiple groups?

Hello, 

For forums, we have multiple groups based on our product technology categories. one of the products belongs to more than one technology category.

Technology category 1 (Group)

Product A 

Product B

Product C

Technology category 2 (Group)

Product B

Product D

Product E

Is there a way we can configure the forum application for multiple groups?

Thanks