weird. so ai's stations don't show up on the map?
t0 stations that aren't in inhabited systems don't show up on the galaxy map, no. Look at the image you posted, your own stations also are not on that map in three out of five systems (only showing up in Kerbol both because that's an upgraded station and an inhabited system, and Ruthauri because it's an inhabited system.) It's also important to note that t0 stations
don't count against your starbase cap.
anyway, that's hard I'm always on some energy deficit of sort, even placing stations only on stuff that has some sun I can mine for energy it's hard to get some balance.
A t0 station only costs one energy upkeep, which is pretty rare for systems in general to not pay for themselves, looking at the image you posted and at all the surrounding systems that you've explored there is 12 explored unclaimed systems, with a total of eighteen energy. If you take everything you'll have a surplus of 6 energy and however many other resources you mine as well.
oh, where do I see a planet max pop? I'm trying to figure out how many city sector are needed for each production sector but I can't find the info
To expand on Minis answer: You have two limitations on how much pop you can have, both are soft caps, but if you go over them your population will become unhappy and growth speed will be reduced, at first small amounts to both, eventually enough that they should stop growing but also probably be somewhat unhappy. Both of them are in the info box in the bottom leftish of the planet screen, how many you have, and how many you need.
The first is housing, which is pretty self explanatory for what it is. Pops use different amounts of housing depending on their social class, but in general you need about 1 housing per population. City districts provide 5 housing, each resource gathering district provides 1 housing.
The second is Jobs. Which are basically the slots you have on the planet for the pops to work in. The city district provides 1 not so good job, and the resource gathering districts provide 2 jobs.
So as you can see from the numbers, normally a certain balance of city districts, for more housing, and resource gathering districts (generator, mining, and farming districts) are needed, when you need more jobs for your pops, build a resource gathering district, normally of the type of whatever base resource you are low on. When you need more housing, build a city district.
In addition to this, every 5 population on a planet unlocks a building slot (up to 16 slots unlocked by 80 population). Most buildings give more jobs, and importantly, they give more advanced jobs that do more then just gather basic resources. Artisans, who turn minerals into consumer goods that you population uses as upkeep (like they do food) metallurgists, who turn minerals into alloys that you use to build space thing (such as warships or starbases), entertainers who turn consumer goods into amenities (which you need to keep the pops on the planet happy) and researchers that turn consumer goods into research (which you need to... research) all come from buildings. There's also a building option to increase your housing (and give some amenities) if you need it.
Most jobs from buildings are also considered a higher class of worker then jobs from districts, so they require more upkeep and their happiness counts more towards the stability of the planet (stability being essentially what replaces individual pop bonuses from happiness that were in previously, now you can have unhappy pops, but if the stability is high, they still get bonuses)
Buildings can also be upgraded eventually, although that costs both a large one time payment and an ongoing upkeep cost in rare resources, but then they offer more jobs per building slot. This can be useful, or not, depending on how your empire is set up.
So in general, you have to use a mix of districts to build up the base production of your planet, and then you can add buildings for more advanced production when you need it, at first you'll generally use buildings for pop upkeep in consumer goods and amenities, but eventually you'll get free slots and enough housing and a big enough economy to put in more metallurgists and researchers, who will help you advance your empire either militarily or technologically.