Overview
- Group
- SmallGroup(28,3)
- Rank
- 2
- Schläfli Type
- {14}
- Vertices, edges, …
- 14, 14
- Order of s0s1
- 14
- Also known as
- 14-gon, {14}. if this polytope has another name.
Special Properties
- Universal
- Spherical
- Locally Spherical
- Orientable
- Self-Dual
Quotients maximal quotients in bold
2-fold
7-fold
Covers minimal covers in bold
2-fold
3-fold
4-fold
5-fold
6-fold
7-fold
8-fold
9-fold
10-fold
11-fold
12-fold
13-fold
14-fold
15-fold
16-fold
17-fold
18-fold
19-fold
20-fold
21-fold
22-fold
23-fold
24-fold
25-fold
26-fold
27-fold
28-fold
29-fold
30-fold
31-fold
32-fold
33-fold
34-fold
35-fold
36-fold
37-fold
38-fold
39-fold
40-fold
41-fold
42-fold
43-fold
44-fold
45-fold
46-fold
47-fold
48-fold
49-fold
50-fold
51-fold
52-fold
53-fold
54-fold
55-fold
56-fold
57-fold
58-fold
59-fold
60-fold
61-fold
62-fold
63-fold
64-fold
65-fold
66-fold
67-fold
68-fold
69-fold
70-fold
71-fold
Irregular Quotients of which this is a minimal cover
None.
Representations
Permutation Representation (GAP)
s0 := ( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14);; s1 := ( 1, 5)( 2, 3)( 4, 9)( 6, 7)( 8,13)(10,11)(12,14);; poly := Group([s0,s1]);;
Finitely Presented Group Representation (GAP)
F := FreeGroup("s0","s1");;
s0 := F.1;; s1 := F.2;;
rels := [ s0*s0, s1*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(14)!( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14); s1 := Sym(14)!( 1, 5)( 2, 3)( 4, 9)( 6, 7)( 8,13)(10,11)(12,14); poly := sub<Sym(14)|s0,s1>;
Finitely Presented Group Representation (Magma)
poly<s0,s1> := Group< s0,s1 | s0*s0, s1*s1, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;
References
None.
to this polytope.