Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
dihedral group |
| gptkbp:centerOrder |
2
|
| gptkbp:centralTo |
{e, r^2}
|
| gptkbp:hasNormalSubgroup |
gptkb:C_4
gptkb:V_4 |
| gptkbp:hasSubgroup |
gptkb:C_4
gptkb:V_4 |
| https://www.w3.org/2000/01/rdf-schema#label |
D 8
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
symmetries of square
|
| gptkbp:isSmallestNonAbelianGroupWithOrderPowerOf2 |
true
|
| gptkbp:notation |
gptkb:D_4
gptkb:Dihedral_group_of_order_8 |
| gptkbp:numberOfConjugacyClasses |
5
|
| gptkbp:numberOfIrreducibleRepresentations |
5
|
| gptkbp:numberOfReflections |
4
|
| gptkbp:numberOfRooms |
8
|
| gptkbp:numberOfRotations |
4
|
| gptkbp:order |
8
|
| gptkbp:presentedBy |
⟨r, s | r^4 = s^2 = e, s r s^{-1} = r^{-1}⟩
|
| gptkbp:usedIn |
gptkb:geometry
abstract algebra group theory symmetry analysis |
| gptkbp:bfsParent |
gptkb:E_8
|
| gptkbp:bfsLayer |
6
|