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Actually, you can use STRING< for characters, symbols and strings.
(defun sortit (diddel dudel)
(loop for elem in (append diddel dudel)
if (numberp elem) collect elem into numbers
else collect elem into alfas
finally (return (values (sort numbers #'<) (sort alfas #'string<)))))
(sortit '(4 p 2 5) '(m 6 a v e))
(2 4 5 6)
(A E M P V)