Groups of order 150

Statistics at a glance
The number 150 has prime factors 2, 3, and 5. The prime factorization is:

$$\! 150 = 2 \cdot 3 \cdot 5^2 = 2 \cdot 3 \cdot 25$$

All groups of this order are solvable groups, and in particular finite solvable groups.

GAP implementation
gap> SmallGroupsInformation(150);

There are 13 groups of order 150. 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 - 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.