Groups of order 189

Statistics at a glance
The number 189 has prime factorization $$189 = 3^3 \cdot 7$$.

GAP implementation
gap> SmallGroupsInformation(189);

There are 13 groups of order 189. They are sorted by their Frattini factors. 1 has Frattini factor [ 21, 1 ]. 2 has Frattini factor [ 21, 2 ]. 3 - 8 have Frattini factor [ 63, 3 ]. 9 - 11 have Frattini factor [ 63, 4 ]. 12 - 13 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.