Groups of order 200

Statistics at a glance
The number 200 has prime factors 2 and 5. The prime factorization is as follows:

$$\! 200 = 2^3 \cdot 5^2 = 8 \cdot 25$$

GAP implementation
gap> SmallGroupsInformation(200);

There are 52 groups of order 200. 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 - 8 have Frattini factor [ 20, 4 ]. 9 - 11 have Frattini factor [ 20, 5 ]. 12 has Frattini factor [ 40, 12 ]. 13 has Frattini factor [ 40, 13 ]. 14 has Frattini factor [ 40, 14 ]. 15 has Frattini factor [ 50, 3 ]. 16 has Frattini factor [ 50, 4 ]. 17 has Frattini factor [ 50, 5 ]. 18 has Frattini factor [ 100, 9 ]. 19 has Frattini factor [ 100, 10 ]. 20 has Frattini factor [ 100, 11 ]. 21 has Frattini factor [ 100, 12 ]. 22 - 26 have Frattini factor [ 100, 13 ]. 27 - 31 have Frattini factor [ 100, 14 ]. 32 - 36 have Frattini factor [ 100, 15 ]. 37 - 39 have Frattini factor [ 100, 16 ]. 40 - 52 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.