Started a new job a week ago, I want to leave

So I started a new IT job just over a week ago. The interview went great, I met the people I would be "working" with and reporting to. At the time, they had a contractor in that was doing all of their IT work, and from the way they spoke in the interview, it sounded like I would be working with the contractor for a short period of time sort of as a hand off. I am the ONLY IT support for the entire company.

Well, first day on the job, I walk in, she introduces me to the office members, sits me down at my desk and says "Let me know if you have any questions" and proceeds to her desk. To this day, I still never received any kind of formal training, 90% of the questions that I ask are responded to with a smile and a "I don't know".

Without going into too much detail, this job is a complete 180 from how they presented it in the interview. The company is completely unorganized, I don't have passwords to anything, I had to setup all of my own accounts, and I have no one to go to for questions since she will not bring the previous contractor in, since they will have to pay for it.

Back on the main topic, I am currently searching for a new job, after one week. I already went through the process of seeing if my old position was still available, but my boss had already found a replacement that would be starting soon.

So my question is, do I list this job on my resume, and how do I present it so it doesn't seem like I am just hopping around? My other jobs have been in place for about a year plus, as one was an internship and the other was a contract.

The worst thing that can happen, whatever you do, is that you are without a job next week. Leaving after a week is not "job hopping". It's an acknowledgement that you made the wrong choice. It's muchbetter to leave after a week than dragging it out for a few months. (The record in my personal experience was a guy who started a new job 9am on Monday, and called his old company at 9:10 am. Got his job back, and they pretended he never left).

Since the worst that can happen is being without a job, you might take one more week to practice how forceful and successful you can be if there is something you want and there are people in the way, and one week to prove to yourself how good you are. Monday morning you go in with the goal that you will fix your problems. That you will not get fobbed off with "I don't know". You spend a day focussed on creating a list of all the things that need to get done, together with all the obstacles.

The company, you say, is disorganised. That's not a negative, that's your opportunity to shine and turn things around. Make sure the state of things when you arrived is documented, and then you change things. Bit by bit. It's not going to happen in a week. It will take a year.

The things you dislike now are not "bad working environment". They are your job.