Groups of Size 864
This page is part of the Atlas of Small Regular Polytopes
51 groups yielding 229 nondegenerate and 624 degenerate polytopes.
Rank 2 Polytopes : 1 nondegenerate and 0 degenerate.
Rank 3 Polytopes : 92 nondegenerate and 2 degenerate.
Rank 4 Polytopes : 112 nondegenerate and
123 degenerate.
Rank 5 Polytopes : 24 nondegenerate and
240 degenerate.
Rank 6 Polytopes : 0 nondegenerate and
180 degenerate.
Rank 7 Polytopes : 0 nondegenerate and 69 degenerate.
Rank 8 Polytopes : 0 nondegenerate and 10 degenerate.
Groups :
- SmallGroup(864,7) 1 nondegenerate polytope and
0 degenerate polytopes.
- SmallGroup(864,98) 2 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,120) 0 nondegenerate polytopes and
2 degenerate polytopes.
- SmallGroup(864,126) 2 nondegenerate polytopes and
2 degenerate polytopes.
- SmallGroup(864,613) 4 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,619) 2 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,633) 0 nondegenerate polytopes and
3 degenerate polytopes.
- SmallGroup(864,635) 0 nondegenerate polytopes and
12 degenerate polytopes.
- SmallGroup(864,770) 4 nondegenerate polytopes and
2 degenerate polytopes.
- SmallGroup(864,781) 2 nondegenerate polytopes and
2 degenerate polytopes.
- SmallGroup(864,814) 6 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,1018) 4 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,1130) 3 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,1141) 4 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,1157) 4 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,1916) 2 nondegenerate polytopes and
18 degenerate polytopes.
- SmallGroup(864,1917) 1 nondegenerate polytope and
0 degenerate polytopes.
- SmallGroup(864,1920) 0 nondegenerate polytopes and
9 degenerate polytopes.
- SmallGroup(864,2202) 2 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,2215) 2 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,2225) 4 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,2265) 6 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,2282) 14 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,2437) 0 nondegenerate polytopes and
16 degenerate polytopes.
- SmallGroup(864,2438) 0 nondegenerate polytopes and
12 degenerate polytopes.
- SmallGroup(864,2455) 2 nondegenerate polytopes and
12 degenerate polytopes.
- SmallGroup(864,2462) 8 nondegenerate polytopes and
18 degenerate polytopes.
- SmallGroup(864,2470) 7 nondegenerate polytopes and
8 degenerate polytopes.
- SmallGroup(864,2501) 2 nondegenerate polytopes and
8 degenerate polytopes.
- SmallGroup(864,2511) 2 nondegenerate polytopes and
8 degenerate polytopes.
- SmallGroup(864,2800) 4 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,2919) 1 nondegenerate polytope and
0 degenerate polytopes.
- SmallGroup(864,3998) 10 nondegenerate polytopes and
48 degenerate polytopes.
- SmallGroup(864,3999) 14 nondegenerate polytopes and
40 degenerate polytopes.
- SmallGroup(864,4000) 26 nondegenerate polytopes and
24 degenerate polytopes.
- SmallGroup(864,4007) 0 nondegenerate polytopes and
40 degenerate polytopes.
- SmallGroup(864,4032) 0 nondegenerate polytopes and
70 degenerate polytopes.
- SmallGroup(864,4033) 0 nondegenerate polytopes and
33 degenerate polytopes.
- SmallGroup(864,4080) 8 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,4094) 6 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,4303) 2 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,4321) 4 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,4368) 10 nondegenerate polytopes and
15 degenerate polytopes.
- SmallGroup(864,4391) 2 nondegenerate polytopes and
8 degenerate polytopes.
- SmallGroup(864,4406) 12 nondegenerate polytopes and
8 degenerate polytopes.
- SmallGroup(864,4407) 2 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,4669) 5 nondegenerate polytopes and
0 degenerate polytopes.
- SmallGroup(864,4673) 25 nondegenerate polytopes and
37 degenerate polytopes.
- SmallGroup(864,4686) 8 nondegenerate polytopes and
50 degenerate polytopes.
- SmallGroup(864,4701) 0 nondegenerate polytopes and
10 degenerate polytopes.
- SmallGroup(864,4704) 0 nondegenerate polytopes and
109 degenerate polytopes.