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The card is serviced by GE Capital Retail Bank: 1-866-519-6441. You can also ring the number on the card:1-866-634-8379 and say you want to apply for a credit limit increase and they can tranfer you.
Call the number on the back of the card. It's an RVA. Say credit limit increase. It will ask you for your current income and what you'd like your total credit limit to be. Aim high so they counter you if the deny. If it's not available it will automatically transfer you to a live agent.
There's really no back door to GE...you can just call the number on the back of the card...go through the automated machines or request an agent and they will always be able to help you. The machine doesn't always grant the request so you'll usually speak to someone in the underwriting department.
I just called the backdoor number listed on this site (GE Moneybank: 866-519-6441 (Credit Analyst/Credit Solutions) a few minutes ago for my Amazon store card. I had requested a cli a week ago via the automated system. I received the paper today saying I was denied due to high balances in relation to credit limits. My utility is less than 5%. Anyway, took about 5 minutes and raised my limit another $1000. I had wanted to ask for $5000 to match my walmart, but she really did not give me an opportunity to even request an amount. It was really weird because when I called about 6 months ago it was much more relaxing. She was not the friendliest but she got the job done..lol. It was only a soft pull on TU.
Congrats
Called the line for an increase at Lowe's due to an upcoming project. Denied through the automated systems and spoke with an underwriter with the same result. If I was denied Lowe's, I assume I'd be denied with Amazon?