Groups of order 660

Statistics at a glance
The number 660 has the prime factorization:

$$\! 660 = 2^2 \cdot 3^1 \cdot 5^1 \cdot 11^1 = 4 \cdot 3 \cdot 5 \cdot 11$$

There are both solvable and non-solvable groups of this order (see the table below).

GAP implementation
gap> SmallGroupsInformation(660);

There are 40 groups of order 660. They are sorted by their Frattini factors. 1 has Frattini factor [ 330, 1 ]. 2 has Frattini factor [ 330, 2 ]. 3 has Frattini factor [ 330, 3 ]. 4 has Frattini factor [ 330, 4 ]. 5 has Frattini factor [ 330, 5 ]. 6 has Frattini factor [ 330, 6 ]. 7 has Frattini factor [ 330, 7 ]. 8 has Frattini factor [ 330, 8 ]. 9 has Frattini factor [ 330, 9 ]. 10 has Frattini factor [ 330, 10 ]. 11 has Frattini factor [ 330, 11 ]. 12 has Frattini factor [ 330, 12 ]. 13 - 40 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.