Groups of Size 1728

Summary

Groups

176

Nondegenerate polytopes

765

Degenerate polytopes

2217

Rank 2

1 nondegenerate, 0 degenerate

Rank 3

302 nondegenerate, 2 degenerate

Rank 4

344 nondegenerate, 203 degenerate

Rank 5

117 nondegenerate, 672 degenerate

Rank 6

1 nondegenerate, 748 degenerate

Rank 7

0 nondegenerate, 427 degenerate

Rank 8

0 nondegenerate, 145 degenerate

Rank 9

0 nondegenerate, 20 degenerate

Groups

• SmallGroup(1728,8) — 1 nondegenerate, 0 degenerate
• SmallGroup(1728,302) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,309) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,315) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,342) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,390) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,472) — 0 nondegenerate, 2 degenerate
• SmallGroup(1728,478) — 2 nondegenerate, 2 degenerate
• SmallGroup(1728,2197) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,2198) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,2203) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,2289) — 0 nondegenerate, 4 degenerate
• SmallGroup(1728,2353) — 0 nondegenerate, 2 degenerate
• SmallGroup(1728,2390) — 2 nondegenerate, 2 degenerate
• SmallGroup(1728,2392) — 1 nondegenerate, 0 degenerate
• SmallGroup(1728,2542) — 0 nondegenerate, 3 degenerate
• SmallGroup(1728,2555) — 0 nondegenerate, 12 degenerate
• SmallGroup(1728,3030) — 4 nondegenerate, 2 degenerate
• SmallGroup(1728,3040) — 2 nondegenerate, 2 degenerate
• SmallGroup(1728,3073) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,3359) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,3511) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,3530) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,3538) — 3 nondegenerate, 0 degenerate
• SmallGroup(1728,3898) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,4110) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,4714) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,4743) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,5113) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,5197) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,5217) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,5273) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,5288) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,5302) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,11356) — 2 nondegenerate, 8 degenerate
• SmallGroup(1728,11358) — 8 nondegenerate, 4 degenerate
• SmallGroup(1728,11367) — 2 nondegenerate, 4 degenerate
• SmallGroup(1728,11371) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,11398) — 0 nondegenerate, 4 degenerate
• SmallGroup(1728,11400) — 0 nondegenerate, 24 degenerate
• SmallGroup(1728,12249) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,12315) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,12317) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,12518) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,12630) — 8 nondegenerate, 0 degenerate
• SmallGroup(1728,12653) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,12703) — 16 nondegenerate, 0 degenerate
• SmallGroup(1728,12713) — 10 nondegenerate, 0 degenerate
• SmallGroup(1728,12762) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,13777) — 0 nondegenerate, 2 degenerate
• SmallGroup(1728,13967) — 1 nondegenerate, 0 degenerate
• SmallGroup(1728,14196) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,14352) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,14460) — 4 nondegenerate, 4 degenerate
• SmallGroup(1728,14461) — 6 nondegenerate, 4 degenerate
• SmallGroup(1728,14710) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,14771) — 8 nondegenerate, 0 degenerate
• SmallGroup(1728,15813) — 0 nondegenerate, 16 degenerate
• SmallGroup(1728,15830) — 0 nondegenerate, 12 degenerate
• SmallGroup(1728,15888) — 2 nondegenerate, 12 degenerate
• SmallGroup(1728,15957) — 8 nondegenerate, 18 degenerate
• SmallGroup(1728,15977) — 7 nondegenerate, 8 degenerate
• SmallGroup(1728,16615) — 0 nondegenerate, 8 degenerate
• SmallGroup(1728,16621) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,16947) — 0 nondegenerate, 6 degenerate
• SmallGroup(1728,16950) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,17171) — 2 nondegenerate, 8 degenerate
• SmallGroup(1728,17257) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,17334) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,17452) — 2 nondegenerate, 8 degenerate
• SmallGroup(1728,17531) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,17566) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,18104) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,18160) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,20782) — 0 nondegenerate, 30 degenerate
• SmallGroup(1728,20783) — 6 nondegenerate, 2 degenerate
• SmallGroup(1728,20787) — 0 nondegenerate, 11 degenerate
• SmallGroup(1728,21263) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,21860) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,21980) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,23054) — 1 nondegenerate, 0 degenerate
• SmallGroup(1728,30173) — 6 nondegenerate, 8 degenerate
• SmallGroup(1728,30174) — 10 nondegenerate, 6 degenerate
• SmallGroup(1728,30184) — 2 nondegenerate, 4 degenerate
• SmallGroup(1728,30189) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,30201) — 8 nondegenerate, 8 degenerate
• SmallGroup(1728,30216) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,30228) — 12 nondegenerate, 8 degenerate
• SmallGroup(1728,30229) — 8 nondegenerate, 4 degenerate
• SmallGroup(1728,30242) — 16 nondegenerate, 0 degenerate
• SmallGroup(1728,30243) — 12 nondegenerate, 0 degenerate
• SmallGroup(1728,30249) — 2 nondegenerate, 4 degenerate
• SmallGroup(1728,30258) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,30267) — 4 nondegenerate, 8 degenerate
• SmallGroup(1728,30272) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,30284) — 6 nondegenerate, 4 degenerate
• SmallGroup(1728,30298) — 12 nondegenerate, 0 degenerate
• SmallGroup(1728,30313) — 10 nondegenerate, 0 degenerate
• SmallGroup(1728,30326) — 14 nondegenerate, 0 degenerate
• SmallGroup(1728,30374) — 0 nondegenerate, 12 degenerate
• SmallGroup(1728,30394) — 10 nondegenerate, 16 degenerate
• SmallGroup(1728,30413) — 6 nondegenerate, 28 degenerate
• SmallGroup(1728,30763) — 0 nondegenerate, 24 degenerate
• SmallGroup(1728,30764) — 0 nondegenerate, 30 degenerate
• SmallGroup(1728,30782) — 0 nondegenerate, 22 degenerate
• SmallGroup(1728,30790) — 0 nondegenerate, 104 degenerate
• SmallGroup(1728,30804) — 2 nondegenerate, 48 degenerate
• SmallGroup(1728,30872) — 0 nondegenerate, 16 degenerate
• SmallGroup(1728,30882) — 0 nondegenerate, 16 degenerate
• SmallGroup(1728,31257) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,31258) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,31293) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,31294) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,31412) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,31593) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,31623) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,31633) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,33416) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,33548) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,33554) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,33596) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,33616) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,33667) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,33799) — 10 nondegenerate, 15 degenerate
• SmallGroup(1728,36607) — 2 nondegenerate, 8 degenerate
• SmallGroup(1728,36990) — 1 nondegenerate, 0 degenerate
• SmallGroup(1728,36991) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,36999) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,37586) — 10 nondegenerate, 6 degenerate
• SmallGroup(1728,37587) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,37593) — 12 nondegenerate, 8 degenerate
• SmallGroup(1728,37597) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,38382) — 0 nondegenerate, 2 degenerate
• SmallGroup(1728,38764) — 1 nondegenerate, 0 degenerate
• SmallGroup(1728,38778) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,38784) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,38805) — 2 nondegenerate, 0 degenerate
• SmallGroup(1728,46098) — 10 nondegenerate, 12 degenerate
• SmallGroup(1728,46099) — 9 nondegenerate, 0 degenerate
• SmallGroup(1728,46100) — 10 nondegenerate, 0 degenerate
• SmallGroup(1728,46101) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,46114) — 6 nondegenerate, 156 degenerate
• SmallGroup(1728,46115) — 6 nondegenerate, 134 degenerate
• SmallGroup(1728,46116) — 14 nondegenerate, 88 degenerate
• SmallGroup(1728,46117) — 2 nondegenerate, 2 degenerate
• SmallGroup(1728,46118) — 4 nondegenerate, 2 degenerate
• SmallGroup(1728,46119) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,46139) — 0 nondegenerate, 56 degenerate
• SmallGroup(1728,46164) — 0 nondegenerate, 108 degenerate
• SmallGroup(1728,46165) — 0 nondegenerate, 43 degenerate
• SmallGroup(1728,46303) — 12 nondegenerate, 8 degenerate
• SmallGroup(1728,46304) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,46313) — 3 nondegenerate, 0 degenerate
• SmallGroup(1728,46344) — 10 nondegenerate, 0 degenerate
• SmallGroup(1728,46356) — 14 nondegenerate, 0 degenerate
• SmallGroup(1728,46549) — 4 nondegenerate, 4 degenerate
• SmallGroup(1728,46587) — 6 nondegenerate, 6 degenerate
• SmallGroup(1728,46611) — 2 nondegenerate, 16 degenerate
• SmallGroup(1728,46634) — 2 nondegenerate, 12 degenerate
• SmallGroup(1728,46671) — 16 nondegenerate, 10 degenerate
• SmallGroup(1728,46672) — 6 nondegenerate, 0 degenerate
• SmallGroup(1728,46674) — 4 nondegenerate, 0 degenerate
• SmallGroup(1728,47196) — 0 nondegenerate, 4 degenerate
• SmallGroup(1728,47215) — 2 nondegenerate, 4 degenerate
• SmallGroup(1728,47234) — 2 nondegenerate, 8 degenerate
• SmallGroup(1728,47319) — 0 nondegenerate, 88 degenerate
• SmallGroup(1728,47341) — 10 nondegenerate, 48 degenerate
• SmallGroup(1728,47394) — 0 nondegenerate, 16 degenerate
• SmallGroup(1728,47409) — 6 nondegenerate, 60 degenerate
• SmallGroup(1728,47410) — 2 nondegenerate, 4 degenerate
• SmallGroup(1728,47847) — 22 nondegenerate, 18 degenerate
• SmallGroup(1728,47870) — 7 nondegenerate, 10 degenerate
• SmallGroup(1728,47874) — 56 nondegenerate, 314 degenerate
• SmallGroup(1728,47887) — 0 nondegenerate, 124 degenerate
• SmallGroup(1728,47912) — 0 nondegenerate, 14 degenerate
• SmallGroup(1728,47915) — 0 nondegenerate, 215 degenerate