Groups of order 448

Statistics at a glance
The number 448 has prime factors 2 and 7. The prime factorization is:

$$\! 448 = 2^6 \cdot 7 = 64 \cdot 7$$

GAP implementation
gap> SmallGroupsInformation(448);

There are 1396 groups of order 448. They are sorted by their Frattini factors. 1 has Frattini factor [ 14, 1 ]. 2 has Frattini factor [ 14, 2 ]. 3 - 124 have Frattini factor [ 28, 3 ]. 125 - 177 have Frattini factor [ 28, 4 ]. 178 - 179 have Frattini factor [ 56, 11 ]. 180 - 781 have Frattini factor [ 56, 12 ]. 782 - 918 have Frattini factor [ 56, 13 ]. 919 has Frattini factor [ 112, 41 ]. 920 - 1293 have Frattini factor [ 112, 42 ]. 1294 - 1361 have Frattini factor [ 112, 43 ]. 1362 - 1364 have Frattini factor [ 224, 195 ]. 1365 - 1384 have Frattini factor [ 224, 196 ]. 1385 - 1391 have Frattini factor [ 224, 197 ]. 1392 - 1396 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.