Groups of order 320

Statistics at a glance
The number 320 has prime factorization $$320 = 2^6 \cdot 5$$. There are only two prime factors, and order has only two prime factors implies solvable, so all groups of order 320 are solvable groups (specifically, finite solvable groups).

GAP implementation
gap> SmallGroupsInformation(320);

There are 1640 groups of order 320. They are sorted by their Frattini factors. 1 has Frattini factor [ 10, 1 ]. 2 has Frattini factor [ 10, 2 ]. 3 has Frattini factor [ 20, 3 ]. 4 - 125 have Frattini factor [ 20, 4 ]. 126 - 178 have Frattini factor [ 20, 5 ]. 179 - 272 have Frattini factor [ 40, 12 ]. 273 - 874 have Frattini factor [ 40, 13 ]. 875 - 1011 have Frattini factor [ 40, 14 ]. 1012 has Frattini factor [ 80, 49 ]. 1013 - 1138 have Frattini factor [ 80, 50 ]. 1139 - 1512 have Frattini factor [ 80, 51 ]. 1513 - 1580 have Frattini factor [ 80, 52 ]. 1581 - 1583 have Frattini factor [ 160, 234 ]. 1584 - 1586 have Frattini factor [ 160, 235 ]. 1587 - 1607 have Frattini factor [ 160, 236 ]. 1608 - 1627 have Frattini factor [ 160, 237 ]. 1628 - 1634 have Frattini factor [ 160, 238 ]. 1635 - 1640 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.