Walking up to a group that is already mid-conversation can be one of the most intimidating things in social life. One-on-one, you only have to manage one person, while a group can feel impossible to break into. There is a reliable way in, and it is what people that join groups smoothly are doing, whether they know it or not.
First, pick a group that is actually open
You can usually tell whether a group is open to new people before you take a step. Look at the feet and shoulders. A closed group stands in a tight circle, bodies angled fully inward, and often leans close in intense conversation. An open group stands in a loose half circle, with gaps between people and bodies angled slightly outward. A loose half circle is an invitation. A tight circle means they are not open right now, and choosing a different group is simply reading the room correctly.
Join by listening first
You do not need an entrance line, and this is the part that removes most of the fear. Step up to the edge of the open group, into one of the gaps, and simply listen for thirty to sixty seconds. Nod, and react to what is being said with a laugh or a "no way." Reacting already counts as taking part. By the time you say a word, the group has usually already accepted you, because paying attention is how people get let into a group. And if your mind goes blank while you stand there, that is fine, because listening is all you need to do at first.
Your first words add to their topic
When you do speak, one rule covers almost everything: add to the conversation they are having. Ask a question about it ("Wait, which restaurant is this?"), agree and extend ("That happened to my brother too, except worse"), or offer the small detail you know. What you should not do is arrive with a brand-new topic, because that tells the group you were not really listening, and it feels like an intrusion. Stay on their topic for a few exchanges. You can bring up your own topics once you are part of the conversation, which usually takes only a few minutes.
If it does not open, let it go lightly
Sometimes you join the edge and nobody makes room for you. That usually means two people were in the middle of something private, or the group is old friends catching up. It tells you about them, and it says nothing about you. Give it a minute, then move on pleasantly to another group. People that seem socially fearless run into this too. They have simply stopped taking it as rejection.
The easiest way in: a familiar face
If you know even one person in the group, walk up beside them, and the group will usually open up right away, because your friend brings you in. It is also a good reason to do the same for others. When you are in a group and someone is standing at the edge, turn your shoulders to make a gap and ask them a question. It can make their night, and you will see firsthand how well it works.
From the edge of the room to inside it
Group entry is one small piece of the machinery, and the free guide gives you the questions to use once you are in. The course covers the rest: reading rooms, joining, holding your own, and turning the people you meet into people you know.