Higman–Sims group

URI: https://gptkb.org/entity/Higman–Sims_group
GPTKB entity
Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:automorphismGroup gptkb:Higman–Sims_group_automorphism_group
2
gptkbp:discoveredBy gptkb:Donald_G._Higman
gptkb:Charles_C._Sims
gptkbp:discoveredIn 1967
gptkbp:hasAtlasNumber 21
gptkbp:hasCharacterTable available
gptkbp:hasMinimalDegreeOfFaithfulMatrixRepresentation 22
gptkbp:hasMinimalDegreeOfFaithfulPermutationRepresentation 100
gptkbp:hasOrderFactorization 2^9 × 3^2 × 5^3 × 7 × 11
gptkbp:hasPermutationRepresentationDegree 100
gptkbp:hasSchurMultiplier 2
gptkbp:hasSubgroup gptkb:Conway_group_Co2
https://www.w3.org/2000/01/rdf-schema#label Higman–Sims group
gptkbp:isNotSubgroupOfMonster true
gptkbp:isOneOf26SporadicGroups true
gptkbp:isSporadicGroup true
gptkbp:isTransitiveOn 100 points
gptkbp:order 44352000
gptkbp:relatedTo gptkb:Higman–Sims_graph
gptkbp:bfsParent gptkb:Graham_Higman
gptkb:sporadic_groups
gptkbp:bfsLayer 6