Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
dicyclic group
|
| gptkbp:alsoKnownAs |
gptkb:quaternion_group
gptkb:Q8 |
| gptkbp:automorphismGroup |
S4
|
| gptkbp:centralTo |
{1, -1}
|
| gptkbp:has8Elements |
true
|
| gptkbp:hasElementOrder |
2
1 4 |
| gptkbp:hasSubgroup |
gptkb:Klein_four-group
cyclic group of order 4 |
| https://www.w3.org/2000/01/rdf-schema#label |
dicyclic group of order 8
|
| gptkbp:isHamiltonian |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:quaternion_group
gptkb:Q8 |
| gptkbp:isPerfect |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:isSmallestNonAbelianHamiltonianGroup |
true
|
| gptkbp:order |
8
|
| gptkbp:presentedBy |
⟨x, y | x^4 = 1, x^2 = y^2, y^{-1}xy = x^{-1}⟩
|
| gptkbp:bfsParent |
gptkb:quaternion_group_Q8
|
| gptkbp:bfsLayer |
6
|