Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:dihedral_group |
| gptkbp:centralTo |
{e, r^3}
|
| gptkbp:containsElement |
12
|
| gptkbp:hasConjugacyClasses |
6
|
| gptkbp:hasElementOrder |
2
1 3 6 |
| gptkbp:hasIrreducibleRepresentations |
6
|
| gptkbp:hasNormalSubgroup |
gptkb:cyclic_group_of_order_6
cyclic group of order 2 |
| gptkbp:hasReflections |
6
|
| gptkbp:hasRotations |
6
|
| gptkbp:hasSubgroup |
gptkb:symmetric_group_S_6
symmetric group S_12 |
| gptkbp:isGeneratedBy |
reflection
rotation of 60 degrees |
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:symmetry_group_of_regular_hexagon
|
| gptkbp:isSimple |
true
|
| gptkbp:isSolvable |
true
|
| gptkbp:isSymmetryGroupOf |
regular hexagon
|
| gptkbp:notation |
gptkb:D_6
gptkb:D12 Dihedral(6) |
| gptkbp:order |
12
|
| gptkbp:presentedBy |
⟨r, s | r^6 = s^2 = 1, s r s^{-1} = r^{-1}⟩
|
| gptkbp:bfsParent |
gptkb:root_system_G_2
|
| gptkbp:bfsLayer |
10
|
| https://www.w3.org/2000/01/rdf-schema#label |
dihedral group D 6
|