Fischer simple group Fi24 prime
One of the 26 sporadic finite simple groups; order 1255205709190661721292800.
The sporadic simple group Fi₂₄′ 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]
The prime in Fi₂₄′ is part of the simple-group name. Fi₂₄′.2 is a larger extension. [sources]
Names and aliases
Fi24' · Fi24 prime · F24
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 Fi₂₄′ identified by the ATLAS standard generators and group record.
- ATLAS: Fischer simple group Fi24 primeHeading and OrderOpen source
- ATLAS: Fischer simple group Fi24 primeStandard generatorsOpen source
- ATLAS of Finite Group Representations: Sporadic groupsFi₂₄′ entryOpen source
group:sporadic-fi24-prime#definitionOrder
1255205709190661721292800
group:sporadic-fi24-prime#orderSimple
Yes
- ATLAS of Finite Group Representations: Sporadic groupsFi₂₄′ entry in sporadic simple groupsOpen source
group:sporadic-fi24-prime#simpleAbelian
No
- Finite simple groups: Lecture 1 — Introduction and alternating groupsCFSG statement, first slideOpen source
group:sporadic-fi24-prime#abelianRepresentation coverage
Classification record; follow the ATLAS for available representations.
- ATLAS: Fischer simple group Fi24 primeRepresentationsOpen source
group:sporadic-fi24-prime#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: Fischer simple group Fi24 primeRepresentations and representation headingsOpen source
group:sporadic-fi24-prime#scope-1Reference scope
The prime in Fi₂₄′ is part of the simple-group name. Fi₂₄′.2 is a larger extension.
- ATLAS: Fischer simple group Fi24 primeGroup name and automorphism-group dataOpen source
group:sporadic-fi24-prime#scope-2Sporadic classification
family:finite-sporadic
group:sporadic-fi24-prime#relation-1