Groups of order 1944

Statistics at a glance
The number 1944 has 2 and 3 as its only prime factors. It has prime factorization:

$$\! 1944 = 2^3 \cdot 3^5 = 8 \cdot 243$$

GAP implementation
gap> SmallGroupsInformation(1944);

There are 3973 groups of order 1944. 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 - 8 have Frattini factor [ 12, 4 ]. 9 - 11 have Frattini factor [ 12, 5 ]. 12 - 50 have Frattini factor [ 18, 3 ]. 51 - 70 have Frattini factor [ 18, 4 ]. 71 - 99 have Frattini factor [ 18, 5 ]. 100 has Frattini factor [ 24, 12 ]. 101 has Frattini factor [ 24, 13 ]. 102 has Frattini factor [ 24, 14 ]. 103 has Frattini factor [ 24, 15 ]. 104 - 108 have Frattini factor [ 36, 9 ]. 109 - 219 have Frattini factor [ 36, 10 ]. 220 - 290 have Frattini factor [ 36, 11 ]. 291 - 485 have Frattini factor [ 36, 12 ]. 486 - 585 have Frattini factor [ 36, 13 ]. 586 - 672 have Frattini factor [ 36, 14 ]. 673 - 714 have Frattini factor [ 54, 12 ]. 715 - 761 have Frattini factor [ 54, 13 ]. 762 - 771 have Frattini factor [ 54, 14 ]. 772 - 801 have Frattini factor [ 54, 15 ]. 802 - 803 have Frattini factor [ 72, 39 ]. 804 - 806 have Frattini factor [ 72, 40 ]. 807 - 808 have Frattini factor [ 72, 41 ]. 809 - 847 have Frattini factor [ 72, 42 ]. 848 - 895 have Frattini factor [ 72, 43 ]. 896 - 934 have Frattini factor [ 72, 44 ]. 935 - 939 have Frattini factor [ 72, 45 ]. 940 - 956 have Frattini factor [ 72, 46 ]. 957 - 1027 have Frattini factor [ 72, 47 ]. 1028 - 1066 have Frattini factor [ 72, 48 ]. 1067 - 1086 have Frattini factor [ 72, 49 ]. 1087 - 1115 have Frattini factor [ 72, 50 ]. 1116 - 1123 have Frattini factor [ 108, 36 ]. 1124 - 1129 have Frattini factor [ 108, 37 ]. 1130 - 1327 have Frattini factor [ 108, 38 ]. 1328 - 1481 have Frattini factor [ 108, 39 ]. 1482 - 1558 have Frattini factor [ 108, 40 ]. 1559 - 1667 have Frattini factor [ 108, 41 ]. 1668 - 1877 have Frattini factor [ 108, 42 ]. 1878 - 2112 have Frattini factor [ 108, 43 ]. 2113 - 2162 have Frattini factor [ 108, 44 ]. 2163 - 2252 have Frattini factor [ 108, 45 ]. 2253 - 2259 have Frattini factor [ 162, 51 ]. 2260 - 2272 have Frattini factor [ 162, 52 ]. 2273 - 2279 have Frattini factor [ 162, 53 ]. 2280 - 2282 have Frattini factor [ 162, 54 ]. 2283 - 2288 have Frattini factor [ 162, 55 ]. 2289 - 2295 have Frattini factor [ 216, 153 ]. 2296 - 2302 have Frattini factor [ 216, 154 ]. 2303 - 2307 have Frattini factor [ 216, 155 ]. 2308 - 2311 have Frattini factor [ 216, 156 ]. 2312 - 2316 have Frattini factor [ 216, 157 ]. 2317 - 2321 have Frattini factor [ 216, 158 ]. 2322 - 2327 have Frattini factor [ 216, 159 ]. 2328 - 2333 have Frattini factor [ 216, 160 ]. 2334 - 2338 have Frattini factor [ 216, 161 ]. 2339 - 2346 have Frattini factor [ 216, 162 ]. 2347 - 2388 have Frattini factor [ 216, 163 ]. 2389 - 2488 have Frattini factor [ 216, 164 ]. 2489 - 2520 have Frattini factor [ 216, 165 ]. 2521 - 2611 have Frattini factor [ 216, 166 ]. 2612 - 2658 have Frattini factor [ 216, 167 ]. 2659 - 2666 have Frattini factor [ 216, 168 ]. 2667 - 2672 have Frattini factor [ 216, 169 ]. 2673 - 2702 have Frattini factor [ 216, 170 ]. 2703 - 2724 have Frattini factor [ 216, 171 ]. 2725 - 2737 have Frattini factor [ 216, 172 ]. 2738 - 2846 have Frattini factor [ 216, 173 ]. 2847 - 2888 have Frattini factor [ 216, 174 ]. 2889 - 2935 have Frattini factor [ 216, 175 ]. 2936 - 2945 have Frattini factor [ 216, 176 ]. 2946 - 2975 have Frattini factor [ 216, 177 ]. 2976 has Frattini factor [ 324, 160 ]. 2977 - 2983 have Frattini factor [ 324, 161 ]. 2984 - 2989 have Frattini factor [ 324, 162 ]. 2990 - 2993 have Frattini factor [ 324, 163 ]. 2994 - 2996 have Frattini factor [ 324, 164 ]. 2997 - 3037 have Frattini factor [ 324, 165 ]. 3038 - 3114 have Frattini factor [ 324, 166 ]. 3115 - 3152 have Frattini factor [ 324, 167 ]. 3153 - 3180 have Frattini factor [ 324, 168 ]. 3181 - 3209 have Frattini factor [ 324, 169 ]. 3210 - 3250 have Frattini factor [ 324, 170 ]. 3251 - 3265 have Frattini factor [ 324, 171 ]. 3266 - 3300 have Frattini factor [ 324, 172 ]. 3301 - 3365 have Frattini factor [ 324, 173 ]. 3366 - 3400 have Frattini factor [ 324, 174 ]. 3401 - 3415 have Frattini factor [ 324, 175 ]. 3416 - 3433 have Frattini factor [ 324, 176 ]. 3434 has Frattini factor [ 486, 256 ]. 3435 has Frattini factor [ 486, 257 ]. 3436 has Frattini factor [ 486, 258 ]. 3437 has Frattini factor [ 486, 259 ]. 3438 has Frattini factor [ 486, 260 ]. 3439 has Frattini factor [ 486, 261 ]. 3440 - 3452 have Frattini factor [ 648, 702 ]. 3453 has Frattini factor [ 648, 703 ]. 3454 has Frattini factor [ 648, 704 ]. 3455 has Frattini factor [ 648, 705 ]. 3456 has Frattini factor [ 648, 706 ]. 3457 - 3460 have Frattini factor [ 648, 707 ]. 3461 - 3468 have Frattini factor [ 648, 708 ]. 3469 - 3472 have Frattini factor [ 648, 709 ]. 3473 - 3474 have Frattini factor [ 648, 710 ]. 3475 - 3476 have Frattini factor [ 648, 711 ]. 3477 - 3479 have Frattini factor [ 648, 712 ]. 3480 - 3485 have Frattini factor [ 648, 713 ]. 3486 - 3489 have Frattini factor [ 648, 714 ]. 3490 - 3493 have Frattini factor [ 648, 715 ]. 3494 - 3496 have Frattini factor [ 648, 716 ]. 3497 - 3499 have Frattini factor [ 648, 717 ]. 3500 - 3503 have Frattini factor [ 648, 718 ]. 3504 - 3508 have Frattini factor [ 648, 719 ]. 3509 - 3516 have Frattini factor [ 648, 720 ]. 3517 - 3519 have Frattini factor [ 648, 721 ]. 3520 - 3523 have Frattini factor [ 648, 722 ]. 3524 - 3528 have Frattini factor [ 648, 723 ]. 3529 - 3532 have Frattini factor [ 648, 724 ]. 3533 - 3537 have Frattini factor [ 648, 725 ]. 3538 - 3544 have Frattini factor [ 648, 726 ]. 3545 - 3550 have Frattini factor [ 648, 727 ]. 3551 - 3554 have Frattini factor [ 648, 728 ]. 3555 - 3557 have Frattini factor [ 648, 729 ]. 3558 - 3561 have Frattini factor [ 648, 730 ]. 3562 - 3566 have Frattini factor [ 648, 731 ]. 3567 - 3571 have Frattini factor [ 648, 732 ]. 3572 - 3576 have Frattini factor [ 648, 733 ]. 3577 - 3579 have Frattini factor [ 648, 734 ]. 3580 - 3586 have Frattini factor [ 648, 735 ]. 3587 - 3605 have Frattini factor [ 648, 736 ]. 3606 - 3620 have Frattini factor [ 648, 737 ]. 3621 - 3625 have Frattini factor [ 648, 738 ]. 3626 - 3640 have Frattini factor [ 648, 739 ]. 3641 - 3661 have Frattini factor [ 648, 740 ]. 3662 - 3668 have Frattini factor [ 648, 741 ]. 3669 - 3675 have Frattini factor [ 648, 742 ]. 3676 - 3681 have Frattini factor [ 648, 743 ]. 3682 - 3685 have Frattini factor [ 648, 744 ]. 3686 - 3688 have Frattini factor [ 648, 745 ]. 3689 - 3695 have Frattini factor [ 648, 746 ]. 3696 - 3706 have Frattini factor [ 648, 747 ]. 3707 - 3714 have Frattini factor [ 648, 748 ]. 3715 - 3718 have Frattini factor [ 648, 749 ]. 3719 - 3723 have Frattini factor [ 648, 750 ]. 3724 - 3730 have Frattini factor [ 648, 751 ]. 3731 - 3745 have Frattini factor [ 648, 752 ]. 3746 - 3752 have Frattini factor [ 648, 753 ]. 3753 - 3765 have Frattini factor [ 648, 754 ]. 3766 - 3772 have Frattini factor [ 648, 755 ]. 3773 - 3775 have Frattini factor [ 648, 756 ]. 3776 - 3781 have Frattini factor [ 648, 757 ]. 3782 has Frattini factor [ 972, 877 ]. 3783 has Frattini factor [ 972, 878 ]. 3784 has Frattini factor [ 972, 879 ]. 3785 has Frattini factor [ 972, 880 ]. 3786 has Frattini factor [ 972, 881 ]. 3787 has Frattini factor [ 972, 882 ]. 3788 has Frattini factor [ 972, 883 ]. 3789 - 3793 have Frattini factor [ 972, 884 ]. 3794 - 3800 have Frattini factor [ 972, 885 ]. 3801 - 3803 have Frattini factor [ 972, 886 ]. 3804 - 3810 have Frattini factor [ 972, 887 ]. 3811 - 3815 have Frattini factor [ 972, 888 ]. 3816 - 3820 have Frattini factor [ 972, 889 ]. 3821 - 3827 have Frattini factor [ 972, 890 ]. 3828 - 3834 have Frattini factor [ 972, 891 ]. 3835 - 3839 have Frattini factor [ 972, 892 ]. 3840 - 3844 have Frattini factor [ 972, 893 ]. 3845 has Frattini factor [ 972, 894 ]. 3846 - 3850 have Frattini factor [ 972, 895 ]. 3851 - 3855 have Frattini factor [ 972, 896 ]. 3856 - 3860 have Frattini factor [ 972, 897 ]. 3861 - 3865 have Frattini factor [ 972, 898 ]. 3866 - 3870 have Frattini factor [ 972, 899 ]. 3871 - 3873 have Frattini factor [ 972, 900 ]. 3874 - 3973 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 5 of the SmallGroups library. IdSmallGroup is available for this size.