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Abelian Non-isomorphic Classes Lister

List all non-isomorphic abelian classes for natural numbers from 2 to 239

Please enter a number between 2 and 239 [inclusive].
The isomorphism classes of your number will then be listed.
(You can also simply hit "Find Groups" to have a number chosen at random.)

210 = 2 * 3 * 5 * 7
Thus there is precisely one abelian group of order 210 up to isomorphism, Z210.


  1. Determines factorization of number
  2. Determines type of options to arrange factors
  3. Determine all combinations
  4. Check against numerical prediction of types for groups