Groups of order 3125

Statistics at a glance
Since $$3125 = 5^5$$ is a prime power, and prime power order implies nilpotent, all groups of order 3125 are nilpotent groups.

GAP implementation
gap> SmallGroupsInformation(3125);

There are 77 groups of order 3125. They are sorted by their ranks. 1 is cyclic. 2 - 38 have rank 2. 39 - 70 have rank 3. 71 - 76 have rank 4. 77 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 4 of the SmallGroups library. IdSmallGroup is available for this size.