Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:alsoKnownAs |
gptkb:dihedral_group_of_order_12
|
| gptkbp:centralTo |
{identity, r^3}
|
| gptkbp:contains |
6 reflections
6 rotations |
| gptkbp:hasNormalSubgroup |
gptkb:C_2
gptkb:C_3 gptkb:C_2_×_C_2 gptkb:C_6 |
| gptkbp:hasSubgroup |
gptkb:S_6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dih 6
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
S_3 × C_2
|
| gptkbp:isSymmetryGroupOf |
regular hexagon
|
| gptkbp:numberOfConjugacyClasses |
6
|
| gptkbp:numberOfElementsOfOrder2 |
7
|
| gptkbp:numberOfElementsOfOrder3 |
2
|
| gptkbp:numberOfElementsOfOrder6 |
2
|
| gptkbp:order |
12
|
| gptkbp:presentedBy |
⟨r, s | r^6 = s^2 = 1, s r s = r^{-1}⟩
|
| gptkbp:structure |
non-abelian
|
| gptkbp:bfsParent |
gptkb:dihedral_group_of_order_12
|
| gptkbp:bfsLayer |
7
|