If you do not remember making this transaction, your keys or devices may have been compromised.
It is not possible to determine who or what entity holds the private keys to a bitcoin address - bitcoin is anonymous by design. Although there are techniques to link addresses to known parties such as exchanges, they are rarely 100% accurate, and usually cost money to look up an address.
In any case, it would not help you here, since the address mentioned has only one incoming transaction, and no outgoing transactions (yet), which means there is no pattern that could potentially help identify the operator.
You should assume you are compromised and reset passwords on all devices, accounts, and wipe any devices that may have had access to that account.