Groups of order 3072

This article gives information about, and links to more details on, groups of order 3072
See pages on algebraic structures of order 3072 | See pages on groups of a particular order

The number of groups of this order up to isomorphism is, as of time of the last revision of this article, unknown. This may change in the future with improved computing power. If the number of groups of this order up to isomorphism has been found and this page has not been updated in a while since then, please consider reporting an error.

The groups of order 3072 are currently unclassified. Indeed, the number of groups of order 3072 is unknown. It is the second smallest number such that the number of groups of that order up to isomorphism is unknown, the smallest being groups of order 2048.

Statistics at a glance

$3072=2^{10}\cdot 3$.

Quantity	Value	Explanation
Number of groups up to isomorphism	unknown, but very large (strictly exceeds 49487367289)
Number of nilpotent groups up to isomorphism	49487367289	Equals the number of groups of order $2^{10}$ times the number of groups of order $3$. (See groups of order 1024, groups of order 3)
Number of abelian groups up to isomorphism	42	Equals the number of unordered integer partitions of $10$. See also classification of finite abelian groups.

GAP implementation

Unfortunately, GAP's SmallGroup library is not available for this order.