In my past life we spun off the echannels to its own team. We handled ATM/Debit cards, VRU, Online Banking and ATM terminals. It was aligned so that my position as manager of eBanking was in line with the manager of Deposit Ops and we both reported up to the Operations Officer. Her team managed all the other Deposit related operations functions.
After I left, they ended up rolling the call center and the telephone, online and eventually mobile banking into a "virtual bank" and threw the ATM/Debit stuff back to Operations.
I don't think there is only one way. You need to look for synergies and do what works best for your institution. Hope this give you a couple ideas.
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www.nebsg.comI saw a bank that said '24 Hour Banking,' but I don't have that much time. ~Steven Wright