Groups of order 896

Statistics at a glance
The number 896 has prime factors 2 and 7. The prime factorization is as follows:

$$\! 896 = 2^7 \cdot 7 = 128 \cdot 7$$

GAP implementation
gap> SmallGroupsInformation(896);

There are 19349 groups of order 896. They are sorted by their Frattini factors. 1 has Frattini factor [ 14, 1 ]. 2 has Frattini factor [ 14, 2 ]. 3 - 401 have Frattini factor [ 28, 3 ]. 402 - 563 have Frattini factor [ 28, 4 ]. 564 has Frattini factor [ 56, 11 ]. 565 - 4666 have Frattini factor [ 56, 12 ]. 4667 - 5499 have Frattini factor [ 56, 13 ]. 5500 - 5506 have Frattini factor [ 112, 41 ]. 5507 - 16339 have Frattini factor [ 112, 42 ]. 16340 - 17492 have Frattini factor [ 112, 43 ]. 17493 - 17500 have Frattini factor [ 224, 195 ]. 17501 - 19135 have Frattini factor [ 224, 196 ]. 19136 - 19304 have Frattini factor [ 224, 197 ]. 19305 - 19308 have Frattini factor [ 448, 1392 ]. 19309 has Frattini factor [ 448, 1394 ]. 19310 - 19334 have Frattini factor [ 448, 1395 ]. 19335 - 19343 have Frattini factor [ 448, 1396 ]. 19344 - 19349 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.