Groups of order 972

Statistics at a glance
The number 972 has prime factors 2 and 3. It has prime factorization:

$$\! 972 = 2^2 \cdot 3^5 = 4 \cdot 243$$

GAP implementation
gap> SmallGroupsInformation(972);

There are 900 groups of order 972. 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 has Frattini factor [ 12, 4 ]. 5 has Frattini factor [ 12, 5 ]. 6 - 44 have Frattini factor [ 18, 3 ]. 45 - 64 have Frattini factor [ 18, 4 ]. 65 - 93 have Frattini factor [ 18, 5 ]. 94 - 98 have Frattini factor [ 36, 9 ]. 99 - 115 have Frattini factor [ 36, 10 ]. 116 - 186 have Frattini factor [ 36, 11 ]. 187 - 225 have Frattini factor [ 36, 12 ]. 226 - 245 have Frattini factor [ 36, 13 ]. 246 - 274 have Frattini factor [ 36, 14 ]. 275 - 316 have Frattini factor [ 54, 12 ]. 317 - 363 have Frattini factor [ 54, 13 ]. 364 - 373 have Frattini factor [ 54, 14 ]. 374 - 403 have Frattini factor [ 54, 15 ]. 404 - 411 have Frattini factor [ 108, 36 ]. 412 - 417 have Frattini factor [ 108, 37 ]. 418 - 447 have Frattini factor [ 108, 38 ]. 448 - 469 have Frattini factor [ 108, 39 ]. 470 - 482 have Frattini factor [ 108, 40 ]. 483 - 591 have Frattini factor [ 108, 41 ]. 592 - 633 have Frattini factor [ 108, 42 ]. 634 - 680 have Frattini factor [ 108, 43 ]. 681 - 690 have Frattini factor [ 108, 44 ]. 691 - 720 have Frattini factor [ 108, 45 ]. 721 - 727 have Frattini factor [ 162, 51 ]. 728 - 740 have Frattini factor [ 162, 52 ]. 741 - 747 have Frattini factor [ 162, 53 ]. 748 - 750 have Frattini factor [ 162, 54 ]. 751 - 756 have Frattini factor [ 162, 55 ]. 757 has Frattini factor [ 324, 160 ]. 758 - 764 have Frattini factor [ 324, 161 ]. 765 - 770 have Frattini factor [ 324, 162 ]. 771 - 774 have Frattini factor [ 324, 163 ]. 775 - 777 have Frattini factor [ 324, 164 ]. 778 - 784 have Frattini factor [ 324, 165 ]. 785 - 795 have Frattini factor [ 324, 166 ]. 796 - 803 have Frattini factor [ 324, 167 ]. 804 - 807 have Frattini factor [ 324, 168 ]. 808 - 812 have Frattini factor [ 324, 169 ]. 813 - 819 have Frattini factor [ 324, 170 ]. 820 - 834 have Frattini factor [ 324, 171 ]. 835 - 841 have Frattini factor [ 324, 172 ]. 842 - 854 have Frattini factor [ 324, 173 ]. 855 - 861 have Frattini factor [ 324, 174 ]. 862 - 864 have Frattini factor [ 324, 175 ]. 865 - 870 have Frattini factor [ 324, 176 ]. 871 has Frattini factor [ 486, 256 ]. 872 has Frattini factor [ 486, 257 ]. 873 has Frattini factor [ 486, 258 ]. 874 has Frattini factor [ 486, 259 ]. 875 has Frattini factor [ 486, 260 ]. 876 has Frattini factor [ 486, 261 ]. 877 - 900 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.