Statements (20)
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
|
https://www.w3.org/2000/01/rdf-schema#label |
Weyl group of F4
|
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
|
gptkbp:bfsLayer |
6
|