Groups of order 90

Statistics at a glance
The number 90 has prime factors 2, 3, and 5. The prime factorization is as follows:

$$\! 90 = 2 \cdot 3^2 \cdot 5 = 2 \cdot 9 \cdot 5$$

All groups of this order are finite solvable groups.

GAP implementation
gap> SmallGroupsInformation(90);

There are 10 groups of order 90. They are sorted by their Frattini factors. 1 has Frattini factor [ 30, 1 ]. 2 has Frattini factor [ 30, 2 ]. 3 has Frattini factor [ 30, 3 ]. 4 has Frattini factor [ 30, 4 ]. 5 - 10 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.