Hey everyone, I've run in to a minor problem in a new relationship

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Hey everyone, I've run in to a minor problem in a new relationship and I'm looking for general advice. My new girlfriend is very smart, cute and charming and I like her very much. I'm a very sincere person and I don't like to have trivial conversation, so naturally I thrive in more personal environments. She is also very sincere in intimate conversation, so when we're together alone it's very fulfilling and special because when I say things to her they are absorbed and she makes points back to me so it feels like I learned more about the subject afterwards. The only issue is that when we're in a group setting she uses more rhetoric (which is fine, that's basically what group conversation is), but I don't really function in a rhetorical conversation so I like to just smile and listen and occasionally say something. See this would be totally okay if it weren't for that the conversation we have one on one and the conversation we have in a group setting is so different so it's percieved by her friends that we are awkward around each other which leads to her worrying that we aren't good for eachother which is rectified by one on one conversation.

So what actual actions should I take in these rhetorical group conversation that I'm not really important in to help my girlfriend be more confident that we aren't awkward together?