SporadicThe 26 sporadic finite simple groups
Exactly 26 exceptional finite simple groups; the Tits group is excluded from this count.
The finite list of nonabelian simple groups outside the alternating and Lie-type families.
Definition sourcesParameter domain
Exactly 26 exceptional finite simple groups; the Tits group is excluded from this count.
Classification sources and conventionsReference properties
Exceptions and identifications
Tits convention: ²F₄(2)′ is indexed with the Lie-type small cases, not as a 27th sporadic group. [sources]
Conventions and use
Individual entries record identity and order. The linked ATLAS separates representations by group, field and characteristic. [sources]
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 finite list of nonabelian simple groups outside the alternating and Lie-type families.
family:finite-sporadic#definitionParameter domain
Finite collection
family:finite-sporadic#parametersScope and restrictions
Exactly 26 exceptional finite simple groups; the Tits group is excluded from this count.
family:finite-sporadic#restrictionExceptions and identifications
Tits convention: ²F₄(2)′ is indexed with the Lie-type small cases, not as a 27th sporadic group.
- ATLAS of Finite Group Representations: Sporadic groupsMiscellaneous: Tits groupOpen source
- Finite simple groups: Lecture 4 — Exceptional groupsSuzuki–Ree small casesOpen source
family:finite-sporadic#exceptions-1Conventions and use
Individual entries record identity and order. The linked ATLAS separates representations by group, field and characteristic.
- ATLAS of Finite Group Representations: Sporadic groupsSporadic index and individual group pagesOpen source
family:finite-sporadic#conventions-1