https://en.wikipedia.org/wiki/Superpermutation
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There are 6 ways of arranging the letters A, B and C: ABC, ACB, BAC, BCA, CAB, and CBA. The string "ABCABACBA" contains each of these as a substring, and would therefore be sorted left.
precise, allsorted, notso, sequence, traditional, miniworlds
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Leo Crabbe
Equivalently, some permutation of the objects reverses the sequence vs. not.
Palindromes fit left. Strings of distinct objects repeated any number of times fit left.
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nice, precise, allsorted, notso, sequence, miniworlds
Aaron David Fairbanks