Groups of order 384

Statistics at a glance
The number 384 has prime factorization $$384 = 2^7 \cdot 3$$.

GAP implementation
gap> SmallGroupsInformation(384);

There are 20169 groups of order 384. They are sorted by their Frattini factors. 1 has Frattini factor [ 6, 1 ]. 2 has Frattini factor [ 6, 2 ]. 3 - 6 have Frattini factor [ 12, 3 ]. 7 - 405 have Frattini factor [ 12, 4 ]. 406 - 567 have Frattini factor [ 12, 5 ]. 568 - 582 have Frattini factor [ 24, 12 ]. 583 - 620 have Frattini factor [ 24, 13 ]. 621 - 4722 have Frattini factor [ 24, 14 ]. 4723 - 5555 have Frattini factor [ 24, 15 ]. 5556 - 5733 have Frattini factor [ 48, 48 ]. 5734 - 5858 have Frattini factor [ 48, 49 ]. 5859 - 5871 have Frattini factor [ 48, 50 ]. 5872 - 16704 have Frattini factor [ 48, 51 ]. 16705 - 17857 have Frattini factor [ 48, 52 ]. 17858 - 18122 have Frattini factor [ 96, 226 ]. 18123 - 18143 have Frattini factor [ 96, 227 ]. 18144 - 18217 have Frattini factor [ 96, 228 ]. 18218 - 18242 have Frattini factor [ 96, 229 ]. 18243 - 19877 have Frattini factor [ 96, 230 ]. 19878 - 20046 have Frattini factor [ 96, 231 ]. 20047 - 20077 have Frattini factor [ 192, 1537 ]. 20078 - 20100 have Frattini factor [ 192, 1538 ]. 20101 - 20113 have Frattini factor [ 192, 1539 ]. 20114 - 20124 have Frattini factor [ 192, 1540 ]. 20125 - 20127 have Frattini factor [ 192, 1541 ]. 20128 - 20152 have Frattini factor [ 192, 1542 ]. 20153 - 20161 have Frattini factor [ 192, 1543 ]. 20162 - 20169 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.