These are the major groups, in my opinion. There is definitely a lot of overlap.

>>518
Minarchists, paleos, and classical liberals are all matters of nuance and you could generally refer to someone in one camp as also belonging to the other two.
I would classify all these as one group, making it

>Ancap
>Monarchist
>LP libertarian

>>525
Many paleos are AnCaps, like Rothbard (in the 90s especially) and Hans-Hermann Hoppe.

>>518
That's a pretty good listing of the general groups, thanks anon.
I might have worded it badly but my intention with the OP was also to ask about more distinct parties or movements and how they relate to the groups you mentioned.
My two examples would be the US conservative wing which from what I know also tends to feature a small but consistent wing of people that I would put under classical liberals and some minarchists and as the second example the german FDP which while generally open in trade is otherwise quite Beltway.

>>533
>specific groups
The liberty movement, like its tenets, very decentralized, so it isn't defined by a single big group. There are a few prominent ones, however.

>GOP dissidents
Like you already mentioned, there's a small but dedicated corps of people in the Republican party that are going against the neocohen establishment. Mostly centered around supporters of Ron Paul before he retired and echoes of his presidential bid in 2012.

>Mises Institute
Probably the single largest advocate of Austrian economics and libertarian politics. Most of the bigwig libertarians post-Mises--Rothbard, Hoppe, Block, and others--have some association with it.

>Cato Institute
The Mises Institute's evil older brother. It was founded by Rothbard and David Koch a few years before the Mises Institute was, and for a brief period it served the same role that the Mises Institute does today. But the group has since broken its ties with Rothbardians and the Austrian School, along with anything that remotely looks like anarcho-capitalism, in an effort to be more relevant to public policy. Nowadays they're just a mouthpiece for milquetoast monetarist talking point du jour. They're globalist controlled opposition, not really libertarian, but I feel need to mention them because normies often associate them with libertarians.

>Libertarian Party
Like the Cato Institue, controlled opposition that normies associate with libertarianism, but run by pot addicts rather than Chicago School cronies.

>Property and Freedom Society
Founded by Hans-Hermann Hoppe, it's like the Mises Institute of Europe, only more explicitly socially conservative and a little more elite.

If you want some more groups there are these:

Voluntarists: similar to ancaps but with a focus on voluntary societies so structures of society may vary. That and from my experience they had more hippie leaning social views.

Agorists: Agorism is more of a strategy than an ideology but basically it focuses on doing things outside of the state and white market. They focus on grey market stuff like getting paid underneath the table, starving the state of tax revenue and aquaponics. They tend to talk a lot about aquaponics.

Bleeding heart libertarians: I guess you could say these are the more "left libertarian" types you've heard about. They use libertarianism to focus on social issues like sex work and stuff like that.

>>1504
Also I forgot one thing about the bleeding heart libertarians, you don't see them around that much nowadays. They were more noticeable around 2014-2016 I think.

In Russia we have these kinds of libertarian groups: