Groups of order 192

Statistics at a glance
The number 192 has prime factorization $$192 = 2^6 \cdot 3$$.

GAP implementation
gap> SmallGroupsInformation(192);

There are 1543 groups of order 192. They are sorted by their Frattini factors. 1 has Frattini factor [ 6, 1 ]. 2 has Frattini factor [ 6, 2 ]. 3 - 4 have Frattini factor [ 12, 3 ]. 5 - 126 have Frattini factor [ 12, 4 ]. 127 - 179 have Frattini factor [ 12, 5 ]. 180 - 187 have Frattini factor [ 24, 12 ]. 188 - 204 have Frattini factor [ 24, 13 ]. 205 - 806 have Frattini factor [ 24, 14 ]. 807 - 943 have Frattini factor [ 24, 15 ]. 944 - 991 have Frattini factor [ 48, 48 ]. 992 - 1019 have Frattini factor [ 48, 49 ]. 1020 - 1025 have Frattini factor [ 48, 50 ]. 1026 - 1399 have Frattini factor [ 48, 51 ]. 1400 - 1467 have Frattini factor [ 48, 52 ]. 1468 - 1488 have Frattini factor [ 96, 226 ]. 1489 - 1495 have Frattini factor [ 96, 227 ]. 1496 - 1504 have Frattini factor [ 96, 228 ]. 1505 - 1509 have Frattini factor [ 96, 229 ]. 1510 - 1529 have Frattini factor [ 96, 230 ]. 1530 - 1536 have Frattini factor [ 96, 231 ]. 1537 - 1543 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.