Groups of order 36

Statistics at a glance
The number 36 has prime factorization $$36 = 2^2 \cdot 3^2$$.

GAP implementation
gap> SmallGroupsInformation(36);

There are 14 groups of order 36. They are sorted by their Frattini factors. 1 has Frattini factor [ 6, 1 ]. 2 has Frattini factor [ 6, 2 ]. 3 has Frattini factor [ 12, 3 ]. 4 has Frattini factor [ 12, 4 ]. 5 has Frattini factor [ 12, 5 ]. 6 has Frattini factor [ 18, 3 ]. 7 has Frattini factor [ 18, 4 ]. 8 has Frattini factor [ 18, 5 ]. 9 - 14 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.