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Calculating AICc using conditional logistic regression

I have a case-control study that I'm analysing using the conditional
logistic regression function clogit from the survival package.

I would like to calculate the AICc of the models I fit using clogit.

I have a variety of scripts that can calculate AICc for models with a
logLik method, but clogit does not appear to use this method.

Is there a way I can calculate AICc from clogit in R?

Many thanks,
Katherine Boughey