This question already has an answer here:

How would you write the possessive with yourself and another person?

For example:

Would you like to join Bob's and my group?

marked as duplicate by sumelic, snailboat, user140086, Community Dec 1 '16 at 9:24

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    I would do my very best to avoid it. "Bob's and my group" vs. "my and Bob's group"? There's not much to choose between them. Both are pretty awful. – Mick Dec 1 '16 at 6:35
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    "Bob and I have a group; would you like to join it?" – Scott Dec 1 '16 at 7:04

Would you like to join Bob and I's group? This states the two of you as a noun phrase, and while sumelic's link below shows the controversy surrounding its usage, I find that is is the most efficient phrasing.

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