Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:group_of_people |
| gptkbp:automorphismGroup |
graph automorphism (order 2)
|
| gptkbp:centralTo |
cyclic group of order gcd(3,q-1)
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:Dynkin_diagram |
E6
|
| gptkbp:hasSubgroup |
gptkb:E7(q)
gptkb:E8(q) |
| gptkbp:hasTwistedForm |
2E6(q)
|
| https://www.w3.org/2000/01/rdf-schema#label |
E6(q)
|
| gptkbp:isGroupOfLieType |
true
|
| gptkbp:isSimple |
true (for q>2)
|
| gptkbp:order |
q^{36} (q^{12}-1)(q^9-1)(q^8-1)(q^6-1)(q^5-1)(q^2-1)/gcd(3,q-1)
|
| gptkbp:rank |
6
|
| gptkbp:relatedTo |
gptkb:E6_(Lie_group)
|
| gptkbp:type |
simple group (for q>2)
|
| gptkbp:bfsParent |
gptkb:Weyl_group
|
| gptkbp:bfsLayer |
5
|