I wan't to move to another city and my apartment lease requires my landlord's consent to a sublease. I tried offering them an early termination payment, but they want more than the total of my remaining rents, which makes no sense. Can I sublease without their knowledge and just add the subtenant as an "occupant" like a roommate?
Why not just find a tenant(s) acceptable to your landlord?
You have to read your lease. If the lease requires approval from the landlord for someone else to move in, then you'd be violating your lease if you try to pull something like this.

Generally, if you just move away you can be held liable to continue paying rent, but only until a new tenant takes occupancy. Also, the landlord must make all reasonable attempts to mitigate the loss by advertising and showing the apartment. He cannot just let it sit empty while he collects rent from you. Generally your best option is to advertise the place yourself. Bring potential tenants in and show them the unit, then if they're interested put them in touch with the landlord. If your landlord is refusing to talk to potential tenants you bring him, you may have a valid case to get out of your liability for the rest of the rent because no court will believe he's making an effort to find a tenant if he's turning away tenants you bring him. Of course, they have to be qualified tenants who can actually pass standard background and credit checks.
You can but you should look at what your lease has to say first then look at what your local landlord tenant laws say. Depending on your lease and how long you have been in the apartment the wording may allow you to do this. If your lease doesn't say it needs approval for a roommate then as long as you are making the payments you usually are fine. If there is an issue with the apartment you should be the one making the initial contact. This can get touchy but can be done in many instances where you can't get them to budge. The other fall back you have after you review the landlord tenant laws is to have an attorney review your lease to see if there are any other options. Hope this helps. Good luck
You can't sublease without their permission. But they aren't allowed to charge you more than rent for the months for which they can't find a tenant. So if the person who you want to sublease to is willing to rent from them, they can't legally charge you more than a month's rent.
Check your lease and see what the move out agreement is since your breaking your lease. I've never heard of charging someone more than the remaining months in your lease. And if i was you i wouldnt sublease to someone else. Because you are held responsible for and damages, complaints ect.
NO! They do not have to let you sublet! Subletting without owner approval is ILLEGAL! You can get sued.

They do not have to let you out of your lease either. it is a legally binding agreement and you MUST pay the consequences for breaking it.
unless stated in the lease that you can sublet the apt, you are out of luck.
no. your lease will not allow that.
Yes you could sub rent the place with out telling the landlord. However understand that YOU are responsible for any damage that the subleasor does to the unit.

This could end very bad.