# Congruence condition on number of abelian subgroups of order sixteen and exponent dividing eight

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This article is about a congruence condition.

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## Statement

### Statement in terms of universal congruence condition

The collection of abelian groups of order and exponent dividing (in other words, the abelian non-cyclic groups) is a Collection of groups satisfying a universal congruence condition (?).

## Related facts

For a summary of information, refer collection of groups satisfying a universal congruence condition#Examples/facts.

- Congruence condition on number of abelian subgroups of prime-cube order
- Congruence condition on number of abelian subgroups of prime-fourth order
- Congruence condition on number of abelian subgroups of order eight and exponent dividing four
- Jonah-Konvisser congruence condition on number of abelian subgroups of small prime power order for odd prime
- Congruence condition on number of abelian subgroups of small prime power order and bounded exponent for odd prime
- Jonah-Konvisser congruence condition on number of elementary abelian subgroups of small prime power order for odd prime