McLaughlin group
E656679
The McLaughlin group is one of the 26 sporadic simple groups in finite group theory, notable for its rich symmetry properties and role in the classification of finite simple groups.
All labels observed (1)
| Label | Occurrences |
|---|---|
| McLaughlin group canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7338409 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: McLaughlin group Context triple: [Monster group, hasSubgroup, McLaughlin group]
-
A.
The McLaughlin Group
The McLaughlin Group was a long-running American public affairs television roundtable known for its combative, fast-paced political commentary and panel debates moderated by John McLaughlin.
-
B.
Marshall Group
Marshall Group is a British aerospace and defense company based in Cambridge, known for its aviation services, engineering, and property businesses.
-
C.
Mertens Group
The Mertens Group is a preparatory body within the Council of the European Union that supports the Committee of Permanent Representatives (Coreper I) by handling technical and procedural work ahead of its meetings.
-
D.
Tartan Laboratories
Tartan Laboratories was a computer science and software company known for its work on programming language tools and compilers, particularly in collaboration with prominent language designers like Guy L. Steele Jr.
-
E.
REA Group
REA Group is an Australian-based digital advertising company best known for operating major online real estate platforms such as realestate.com.au.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: McLaughlin group Target entity description: The McLaughlin group is one of the 26 sporadic simple groups in finite group theory, notable for its rich symmetry properties and role in the classification of finite simple groups.
-
A.
The McLaughlin Group
The McLaughlin Group was a long-running American public affairs television roundtable known for its combative, fast-paced political commentary and panel debates moderated by John McLaughlin.
-
B.
Marshall Group
Marshall Group is a British aerospace and defense company based in Cambridge, known for its aviation services, engineering, and property businesses.
-
C.
Mertens Group
The Mertens Group is a preparatory body within the Council of the European Union that supports the Committee of Permanent Representatives (Coreper I) by handling technical and procedural work ahead of its meetings.
-
D.
Tartan Laboratories
Tartan Laboratories was a computer science and software company known for its work on programming language tools and compilers, particularly in collaboration with prominent language designers like Guy L. Steele Jr.
-
E.
REA Group
REA Group is an Australian-based digital advertising company best known for operating major online real estate platforms such as realestate.com.au.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
finite group
ⓘ
finite simple group ⓘ sporadic simple group ⓘ |
| actsOn | McLaughlin graph NERFINISHED ⓘ |
| actsTransitivelyOn | 275 points ⓘ |
| discoveredBy | Jack McLaughlin NERFINISHED ⓘ |
| discoveryYear | 1969 ⓘ |
| hasAbbreviation | McL NERFINISHED ⓘ |
| hasAtlasName | McL NERFINISHED ⓘ |
| hasAutomorphismGroup | McL:2 NERFINISHED ⓘ |
| hasMaximalSubgroup |
11:5
ⓘ
2^3+6:3^2:2 ⓘ 2^4:A7 NERFINISHED ⓘ 2^6:3·S6 NERFINISHED ⓘ 2·A8 ⓘ 3^1+4:2·S4 NERFINISHED ⓘ 3^2+4:2^2·S4 ⓘ 3^2:2S5 NERFINISHED ⓘ 3^4:2·S5 NERFINISHED ⓘ 5^1+2:4A4 NERFINISHED ⓘ 5^2:4S4 ⓘ 7:6 ⓘ A7 ⓘ L2(11) ⓘ M22 NERFINISHED ⓘ M22:2 NERFINISHED ⓘ U4(3) NERFINISHED ⓘ |
| hasMinimalFaithfulComplexRepresentationDegree |
22
ⓘ
77 ⓘ |
| hasMinimalFaithfulPermutationDegree | 275 ⓘ |
| hasOuterAutomorphismGroup | C2 ⓘ |
| hasPointStabilizer |
3^4:2·S5
NERFINISHED
ⓘ
U4(3) NERFINISHED ⓘ |
| hasRank3PermutationDegree | 275 ⓘ |
| hasRank3PermutationRepresentation | true ⓘ |
| hasRelatedGeometry | McLaughlin graph NERFINISHED ⓘ |
| hasSylow11SubgroupOrder | 11 ⓘ |
| hasSylow2SubgroupOrder | 128 ⓘ |
| hasSylow3SubgroupOrder | 729 ⓘ |
| hasSylow5SubgroupOrder | 125 ⓘ |
| hasSylow7SubgroupOrder | 7 ⓘ |
| hasTrivialCenter | true ⓘ |
| isInvolvedIn | classification of finite simple groups ⓘ |
| isOneOf | 26 sporadic simple groups ⓘ |
| isPerfectGroup | true ⓘ |
| order | 898128000 ⓘ |
| orderFactorization | 2^7 · 3^6 · 5^3 · 7 · 11 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: McLaughlin group Description of subject: The McLaughlin group is one of the 26 sporadic simple groups in finite group theory, notable for its rich symmetry properties and role in the classification of finite simple groups.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.