Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:group_of_people |
| gptkbp:actsOn |
21 points
|
| gptkbp:automorphismGroup |
C2
|
| gptkbp:discoveredBy |
gptkb:Émile_Mathieu
|
| gptkbp:discoveredIn |
1873
|
| gptkbp:hasMinimalDegreeFaithfulPermutationRepresentation |
21
|
| gptkbp:hasOrderFactorization |
2^6 × 3^2 × 5 × 7
|
| gptkbp:hasSchurMultiplier |
C6
|
| gptkbp:hasSubgroup |
gptkb:Mathieu_group_M24
|
| gptkbp:hasTransitivityDegree |
5-transitive
4-transitive |
| https://www.w3.org/2000/01/rdf-schema#label |
Mathieu group M21
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isOneOf26SporadicGroups |
true
|
| gptkbp:isPermutationGroup |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:isSporadicGroup |
true
|
| gptkbp:isTransitiveOn |
5-transitive
|
| gptkbp:order |
604800
|
| gptkbp:relatedTo |
gptkb:Mathieu_group_M24
gptkb:Mathieu_group_M22 gptkb:Mathieu_group_M23 gptkb:Steiner_system_S(4,5,11) gptkb:Steiner_system_S(5,6,12) |
| gptkbp:bfsParent |
gptkb:Zassenhaus_group
|
| gptkbp:bfsLayer |
6
|