Sporadic Suzuki group
One of the 26 sporadic finite simple groups; order 448345497600.
The sporadic simple group Suz 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]
This isolated sporadic group is distinct from the infinite Suzuki family Sz(q) = ²B₂(q). [sources]
Names and aliases
Suzuki sporadic
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 Suz identified by the ATLAS standard generators and group record.
- ATLAS: Sporadic Suzuki groupHeading and OrderOpen source
- ATLAS: Sporadic Suzuki groupStandard generatorsOpen source
- ATLAS of Finite Group Representations: Sporadic groupsSuz entryOpen source
group:sporadic-suz#definitionOrder
448345497600
group:sporadic-suz#orderSimple
Yes
- ATLAS of Finite Group Representations: Sporadic groupsSuz entry in sporadic simple groupsOpen source
group:sporadic-suz#simpleAbelian
No
- Finite simple groups: Lecture 1 — Introduction and alternating groupsCFSG statement, first slideOpen source
group:sporadic-suz#abelianRepresentation coverage
Classification record; follow the ATLAS for available representations.
- ATLAS: Sporadic Suzuki groupRepresentationsOpen source
group:sporadic-suz#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: Sporadic Suzuki groupRepresentations and representation headingsOpen source
group:sporadic-suz#scope-1Reference scope
This isolated sporadic group is distinct from the infinite Suzuki family Sz(q) = ²B₂(q).
- ATLAS: Sporadic Suzuki groupHeadingOpen source
- Finite simple groups: Lecture 4 — Exceptional groupsSuzuki familiesOpen source
group:sporadic-suz#scope-2Sporadic classification
family:finite-sporadic
group:sporadic-suz#relation-1