Reference enumerating groups of order a product of five distinct primes.

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I found this paper enumerating the groups of order $pqrs$ up to isomorphism.

I'm struggling to find one for $pqrst$. Has anyone done it? Could someone provide me with a reference if so?

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This paper of Michael C. Slattery describes how to enumerate the groups of any square-free order. I do not know whether the special case of five distinct primes had been considered separately, perhaps earlier.