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I believe its a 1 1/8" or 1 1/4". A very uncommon socket size. Years ago I had to buy one and could only find it in an impact socket version. Haven't used it since. Oh, and you're not supposed to re-use the nuts, they're TTY. Are you asking if you need to remove the hub to replace a shock? No, you shouldn't have to.
Edit: You don't need to remove the hub nut to remove the tire. Is that what you're asking?
Adieu can you post a picture so we are absolutely clear about what you are asking so we don't give you the wrong answer?The huge nut under the hubcap in the middle on the rear wheel, on what looks to be the axle... does it need to come off to remove the wheel?
What about to change rear shocks?
Adieu can you post a picture so we are absolutely clear about what you are asking so we don't give you the wrong answer?