Groups of order 420

Statistics at a glance
The number 420 has the prime factorization:

$$\! 420 = 2^2 \cdot 3 \cdot 5 \cdot 7 = 4 \cdot 3 \cdot 5 \cdot 7$$

GAP implementation
gap> SmallGroupsInformation(420);

There are 41 groups of order 420. They are sorted by their Frattini factors. 1 has Frattini factor [ 210, 1 ]. 2 has Frattini factor [ 210, 2 ]. 3 has Frattini factor [ 210, 3 ]. 4 has Frattini factor [ 210, 4 ]. 5 has Frattini factor [ 210, 5 ]. 6 has Frattini factor [ 210, 6 ]. 7 has Frattini factor [ 210, 7 ]. 8 has Frattini factor [ 210, 8 ]. 9 has Frattini factor [ 210, 9 ]. 10 has Frattini factor [ 210, 10 ]. 11 has Frattini factor [ 210, 11 ]. 12 has Frattini factor [ 210, 12 ]. 13 - 41 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.