Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:actsOn |
gptkb:4-dimensional_Euclidean_space
|
| gptkbp:associatedWith |
gptkb:F4_Lie_algebra
|
| gptkbp:Dynkin_diagram |
4 nodes with edges labeled 3, 4, 3
|
| gptkbp:generation |
4 simple reflections
|
| gptkbp:hasConjugacyClasses |
25
|
| gptkbp:hasIrreducibleRepresentation |
true
|
| gptkbp:hasOrderFactorization |
2^7 × 3^2
|
| gptkbp:hasSubgroup |
Weyl group of E6
|
| gptkbp:isCoxeterGroup |
true
|
| gptkbp:isFinite |
true
|
| gptkbp:isomorphicTo |
automorphism group of the 24-cell
symmetry group of the 24-cell |
| gptkbp:isRealizedAs |
gptkb:Weyl_group
|
| gptkbp:isSimple |
false
|
| gptkbp:order |
1152
|
| gptkbp:rank |
4
|
| gptkbp:bfsParent |
gptkb:exceptional_Lie_group_F4
gptkb:F4_Lie_group |
| gptkbp:bfsLayer |
8
|
| http://www.w3.org/2000/01/rdf-schema#label |
Weyl group of F4
|