Groups of order 1792

Statistics at a glance
The number 1792 has prime factors 2 and 7. The prime factorization is:

$$\! 1792 = 2^8 \cdot 7 = 256 \cdot 7$$

GAP implementation
gap> SmallGroupsInformation(1792);

There are 1083553 groups of order 1792. They are sorted by normal Sylow subgroups. 1 - 56092 are the nilpotent groups. 56093 - 1083472 have a normal Sylow 7-subgroup with centralizer of index 2. 1083473 - 1083549 have a normal Sylow 2-subgroup. 1083550 - 1083553 have no normal Sylow subgroup.

This size belongs to layer 3 of the SmallGroups library. IdSmallGroup is available for this size.