Groups of order 162

Statistics at a glance
The number 162 has 2 and 3 as its only prime factors, and has prime factorization:

$$\! 162 = 2 \cdot 3^4$$

GAP implementation
gap> SmallGroupsInformation(162);

There are 55 groups of order 162. They are sorted by their Frattini factors. 1 has Frattini factor [ 6, 1 ]. 2 has Frattini factor [ 6, 2 ]. 3 - 15 have Frattini factor [ 18, 3 ]. 16 - 22 have Frattini factor [ 18, 4 ]. 23 - 31 have Frattini factor [ 18, 5 ]. 32 - 37 have Frattini factor [ 54, 12 ]. 38 - 44 have Frattini factor [ 54, 13 ]. 45 - 46 have Frattini factor [ 54, 14 ]. 47 - 50 have Frattini factor [ 54, 15 ]. 51 - 55 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.