Groups of order 100

Statistics at a glance
The number 100 has 2 and 5 as its only prime factors. The prime factorization is as follows:

$$\! 100 = 2^2 \cdot 5^2 = 4 \cdot 25$$

GAP implementation
gap> SmallGroupsInformation(100);

There are 16 groups of order 100. They are sorted by their Frattini factors. 1 has Frattini factor [ 10, 1 ]. 2 has Frattini factor [ 10, 2 ]. 3 has Frattini factor [ 20, 3 ]. 4 has Frattini factor [ 20, 4 ]. 5 has Frattini factor [ 20, 5 ]. 6 has Frattini factor [ 50, 3 ]. 7 has Frattini factor [ 50, 4 ]. 8 has Frattini factor [ 50, 5 ]. 9 - 16 have trivial Frattini subgroup.

For the selection functions the values of the following attributes are precomputed and stored: IsAbelian, IsNilpotentGroup, IsSupersolvableGroup, IsSolvableGroup, LGLength, FrattinifactorSize and FrattinifactorId.

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