Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
dihedral group
|
| gptkbp:centralTo |
{1, r^3}
|
| gptkbp:hasConjugacyClasses |
6
|
| gptkbp:hasElementOrder |
2
1 3 6 |
| gptkbp:hasNormalSubgroup |
gptkb:C_2_×_C_2
gptkb:C_6 |
| gptkbp:hasSubgroup |
gptkb:S_6
|
| https://www.w3.org/2000/01/rdf-schema#label |
D {12}
|
| gptkbp:isGroupOfSymmetriesOf |
regular hexagon
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
Symmetric group of rectangle with 6 sides
|
| gptkbp:isSimple |
true
|
| gptkbp:isSolvable |
true
|
| gptkbp:numberOfReflections |
6
|
| gptkbp:numberOfRooms |
12
|
| gptkbp:numberOfRotations |
6
|
| gptkbp:order |
12
|
| gptkbp:presentedBy |
⟨r, s | r^6 = s^2 = 1, s r s^{-1} = r^{-1}⟩
|
| gptkbp:bfsParent |
gptkb:PSL(2,_11)
|
| gptkbp:bfsLayer |
7
|