Held group
One of the 26 sporadic finite simple groups; order 4030387200.
The sporadic simple group He identified by the ATLAS standard generators and group record.
Definition sourcesReference properties
Reference scope
This entry establishes the group identity and exact order. Representation links upstream may refer to different fields, characteristics or central extensions; those choices must be checked before reuse. [sources]
Names and aliases
Held
Related objects and maps
- SporadicSporadic classificationThe 26 sporadic finite simple groups
Claims and sources
Each assertion has a stable identifier within this record and a source locator or derivation. Cite the dataset edition when referring to a corrected or historical claim.
Definition
The sporadic simple group He identified by the ATLAS standard generators and group record.
- ATLAS: Held groupHeading and OrderOpen source
- ATLAS: Held groupStandard generatorsOpen source
- ATLAS of Finite Group Representations: Sporadic groupsHe entryOpen source
group:sporadic-he#definitionOrder
4030387200
group:sporadic-he#orderSimple
Yes
- ATLAS of Finite Group Representations: Sporadic groupsHe entry in sporadic simple groupsOpen source
group:sporadic-he#simpleAbelian
No
- Finite simple groups: Lecture 1 — Introduction and alternating groupsCFSG statement, first slideOpen source
group:sporadic-he#abelianRepresentation coverage
Classification record; follow the ATLAS for available representations.
- ATLAS: Held groupRepresentationsOpen source
group:sporadic-he#representation-scopeReference scope
This entry establishes the group identity and exact order. Representation links upstream may refer to different fields, characteristics or central extensions; those choices must be checked before reuse.
- ATLAS: Held groupRepresentations and representation headingsOpen source
group:sporadic-he#scope-1Sporadic classification
family:finite-sporadic
group:sporadic-he#relation-1