|
gptkbp:instanceOf
|
sporadic simple group
|
|
gptkbp:actsOn
|
24 points
|
|
gptkbp:automorphismGroup
|
trivial
|
|
gptkbp:centralTo
|
trivial
|
|
gptkbp:discoveredBy
|
gptkb:Émile_Mathieu
|
|
gptkbp:discoveredIn
|
1873
|
|
gptkbp:hasAtlasNotation
|
gptkb:M24
|
|
gptkbp:hasAtlasNumber
|
24
|
|
gptkbp:hasCharacterTable
|
known
|
|
gptkbp:hasConjugacyClasses
|
26
|
|
gptkbp:hasIrreducibleRepresentations
|
26
|
|
gptkbp:hasMaximalSubgroup
|
gptkb:Conway_group_Co_1
|
|
gptkbp:hasNoNontrivialNormalSubgroups
|
true
|
|
gptkbp:hasOrderFactorization
|
2^10 × 3^3 × 5 × 7 × 11 × 23
|
|
gptkbp:hasPermutationRepresentation
|
degree 24
|
|
gptkbp:hasSchurMultiplier
|
trivial
|
|
gptkbp:hasSubgroup
|
gptkb:Mathieu_group_M11
gptkb:Mathieu_group_M12
gptkb:Mathieu_group_M22
gptkb:Mathieu_group_M23
gptkb:symmetric_group_S24
automorphism group of the extended binary Golay code
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Mathieu group M24
|
|
gptkbp:is5Transitive
|
true
|
|
gptkbp:isHighlyTransitive
|
5-transitive
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isOneOf
|
gptkb:Mathieu_groups
gptkb:sporadic_groups
five Mathieu groups
|
|
gptkbp:isPerfect
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:isTransitiveOn
|
24 points
|
|
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation
|
24
|
|
gptkbp:namedAfter
|
gptkb:Émile_Mathieu
|
|
gptkbp:order
|
244823040
|
|
gptkbp:relatedTo
|
gptkb:Golay_code
gptkb:Leech_lattice
gptkb:Steiner_system_S(5,8,24)
gptkb:Monstrous_moonshine
finite simple groups classification
|
|
gptkbp:usedIn
|
coding theory
mathematical physics
combinatorics
finite group theory
|
|
gptkbp:bfsParent
|
gptkb:Golay_code
gptkb:Mathieu_group_M12
gptkb:sporadic_groups
|
|
gptkbp:bfsLayer
|
6
|