Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:regular_octahedron
cube |
| gptkbp:automorphismGroup |
S3
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:Dynkin_diagram |
[4,3]
|
| gptkbp:hasCharacterTable |
yes
|
| gptkbp:hasConjugacyClasses |
5
|
| gptkbp:hasElementOrder |
2
1 3 4 |
| gptkbp:hasIrreducibleRepresentations |
5
|
| gptkbp:hasNormalSubgroup |
gptkb:Klein_four-group
gptkb:alternating_group_A4 cyclic group of order 4 |
| gptkbp:hasSubgroup |
gptkb:symmetric_group_S6
gptkb:alternating_group_A6 |
| https://www.w3.org/2000/01/rdf-schema#label |
octahedral group
|
| gptkbp:isCoxeterGroup |
yes
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:symmetric_group_S4
S4 binary octahedral group modulo center |
| gptkbp:isPointGroup |
O
|
| gptkbp:isSolvable |
true
|
| gptkbp:isSymmetryGroupOf |
gptkb:octahedron
cube |
| gptkbp:isWeylGroupOf |
gptkb:B3
C3 |
| gptkbp:order |
24
|
| gptkbp:presentedBy |
⟨r,s|r^4=s^2=(rs)^3=1⟩
|
| gptkbp:bfsParent |
gptkb:octahedron
|
| gptkbp:bfsLayer |
6
|