Groups of order 288

Statistics at a glance
The number 288 has the following prime factorization:

$$\! 288 = 2^5 \cdot 3^2 = 32 \cdot 9$$

GAP implementation
gap> SmallGroupsInformation(288);

There are 1045 groups of order 288. They are sorted by their Frattini factors. 1 has Frattini factor [ 6, 1 ]. 2 has Frattini factor [ 6, 2 ]. 3 has Frattini factor [ 12, 3 ]. 4 - 44 have Frattini factor [ 12, 4 ]. 45 - 63 have Frattini factor [ 12, 5 ]. 64 has Frattini factor [ 18, 3 ]. 65 has Frattini factor [ 18, 4 ]. 66 has Frattini factor [ 18, 5 ]. 67 - 70 have Frattini factor [ 24, 12 ]. 71 - 77 have Frattini factor [ 24, 13 ]. 78 - 163 have Frattini factor [ 24, 14 ]. 164 - 187 have Frattini factor [ 24, 15 ]. 188 has Frattini factor [ 36, 9 ]. 189 - 229 have Frattini factor [ 36, 10 ]. 230 has Frattini factor [ 36, 11 ]. 231 - 271 have Frattini factor [ 36, 12 ]. 272 - 312 have Frattini factor [ 36, 13 ]. 313 - 331 have Frattini factor [ 36, 14 ]. 332 - 342 have Frattini factor [ 48, 48 ]. 343 - 349 have Frattini factor [ 48, 49 ]. 350 - 351 have Frattini factor [ 48, 50 ]. 352 - 366 have Frattini factor [ 48, 51 ]. 367 - 372 have Frattini factor [ 48, 52 ]. 373 has Frattini factor [ 72, 39 ]. 374 - 391 have Frattini factor [ 72, 40 ]. 392 - 396 have Frattini factor [ 72, 41 ]. 397 - 400 have Frattini factor [ 72, 42 ]. 401 - 404 have Frattini factor [ 72, 43 ]. 405 - 411 have Frattini factor [ 72, 44 ]. 412 - 436 have Frattini factor [ 72, 45 ]. 437 - 631 have Frattini factor [ 72, 46 ]. 632 - 638 have Frattini factor [ 72, 47 ]. 639 - 724 have Frattini factor [ 72, 48 ]. 725 - 810 have Frattini factor [ 72, 49 ]. 811 - 834 have Frattini factor [ 72, 50 ]. 835 has Frattini factor [ 96, 226 ]. 836 has Frattini factor [ 96, 227 ]. 837 has Frattini factor [ 96, 228 ]. 838 has Frattini factor [ 96, 229 ]. 839 has Frattini factor [ 96, 230 ]. 840 has Frattini factor [ 96, 231 ]. 841 - 843 have Frattini factor [ 144, 182 ]. 844 - 858 have Frattini factor [ 144, 183 ]. 859 - 860 have Frattini factor [ 144, 184 ]. 861 - 867 have Frattini factor [ 144, 185 ]. 868 - 890 have Frattini factor [ 144, 186 ]. 891 - 895 have Frattini factor [ 144, 187 ]. 896 - 906 have Frattini factor [ 144, 188 ]. 907 - 917 have Frattini factor [ 144, 189 ]. 918 - 928 have Frattini factor [ 144, 190 ]. 929 - 941 have Frattini factor [ 144, 191 ]. 942 - 978 have Frattini factor [ 144, 192 ]. 979 - 985 have Frattini factor [ 144, 193 ]. 986 - 987 have Frattini factor [ 144, 194 ]. 988 - 1002 have Frattini factor [ 144, 195 ]. 1003 - 1017 have Frattini factor [ 144, 196 ]. 1018 - 1023 have Frattini factor [ 144, 197 ]. 1024 - 1045 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.