Groups of order 625

Statistics at a glance
Since $$625 = 5^4$$ is a prime power, and prime power order implies nilpotent, all groups of this order are nilpotent groups.

GAP implementation
gap> SmallGroupsInformation(625);

There are 15 groups of order 625. They are sorted by their ranks. 1 is cyclic. 2 - 10 have rank 2. 11 - 14 have rank 3. 15 is elementary abelian.

For the selection functions the values of the following attributes are precomputed and stored: IsAbelian, PClassPGroup, RankPGroup, FrattinifactorSize and FrattinifactorId.

This size belongs to layer 2 of the SmallGroups library. IdSmallGroup is available for this size.