No one should google, i "DDG" / DuckDuckGo when i need to fine something, in this day and age no one should use google, that to me is like your country being dependant of Russian gas and oil or exotic minerals only found in North Korea,,,,,,, simply unsustainable.
BTW i just found out what FAC mean, as i have never been able to figure that out myself, i did know it meant full power, and thats good enough for me.
In Denmark you need FAC for everything but .177 where you just have to be 18 YO
Of course to make things more complicated we have 2 kinds, so you can get a weapon permit if you are a sports shooter and are willing to put in the work, CUZ it is of course not easy or fast to get. Surprisingly it is cheap,,,,,, not a concept Danes are familiar with, they think they are but really NO.
Or you can get a hunting licence, which allow you to buy any kind of rifle, even a 700 nitro express, even if there are no elephants in Denmark.
BUT ! if you have a hunting permit you can of course also buy the larger airguns,,,, but those just like powder burners must be locked in a safe,,,, even if several decades of that being proven are not really a thing unless protecting from toddlers / kids of your own getting into your firearms, it sure as hell do not work in regard to theft of firearms.
You can of course not buy a pistol here with a hunting license as hunting with pistols are not allowed, but having a hunting licence might facilitate you getting a weapon permit more easy / faster if say you want to do a little IPSC or something