I also agree with csallen's comment. Introducing my friends to each other was one of my projects for last year and its made my whole world closer and more convenient. Now if I ever want to see a movie, have a day in the park, have a dinner I know I can make a general invitation and whoever is free and interested can show up and, because they already know each other, everyone will have a great time.
If you trust your friends to see in each other (or at least respect) what you see in each of them individually and if they're mature adults, there should be no issue with introducing people to each other. This practice has been a good way for me to re-examine some of my own unconscious biases about which of my friends would get along with one another based on superficial qualities (such as their occupations or backgrounds) and I've been pleasantly surprised by the friendships that have blossomed out of the introductions I've made.
As a side note, I still identify as an introvert and still get the most fulfillment out of 1:1 conversations. I don't think you need to be an extrovert to hang out in groups or be the social glue in your world. I was inspired to start introducing friends to one another because I realized how grateful I was - as an introvert - when I first moved to a new city and one of the friends I made was super welcoming and inclusive with their friends. It made me want to serve in that role myself and I'm so glad I got over my shyness and anxiety. I think if you approach adult relationships with intentionality you'll often be surprised by how receptive people are - I find most people have a desire to make new friends, but they're often afraid to take the first initiative.