McL
E661158
McL is one of the 26 sporadic simple groups, known as the McLaughlin group, notable for its highly symmetric and exceptional finite group structure.
All labels observed (1)
| Label | Occurrences |
|---|---|
| McL canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7395050 — 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: McL Context triple: [Co3, hasPointStabilizerIsomorphicTo, McL]
-
A.
MCL
MCL is a specialized postgraduate law degree at the University of Cambridge focused on corporate and commercial law.
-
B.
MLC
MLC is the upper house of the bicameral legislature of the Indian state of Maharashtra, responsible for reviewing and passing state legislation.
-
C.
MCG
MCG is a world-famous sports stadium in Melbourne, Australia, renowned as a premier venue for cricket and Australian rules football and for hosting major international sporting events.
-
D.
Clarkson
Clarkson is the surname of American singer, songwriter, and television personality Kelly Clarkson, who rose to fame as the first winner of "American Idol."
-
E.
McX
McX is a fictional philosopher introduced by W.V.O. Quine in his essay "On What There Is" to illustrate and critique certain metaphysical views about existence and ontological commitment.
- 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: McL Target entity description: McL is one of the 26 sporadic simple groups, known as the McLaughlin group, notable for its highly symmetric and exceptional finite group structure.
-
A.
MCL
MCL is a specialized postgraduate law degree at the University of Cambridge focused on corporate and commercial law.
-
B.
MLC
MLC is the upper house of the bicameral legislature of the Indian state of Maharashtra, responsible for reviewing and passing state legislation.
-
C.
MCG
MCG is a world-famous sports stadium in Melbourne, Australia, renowned as a premier venue for cricket and Australian rules football and for hosting major international sporting events.
-
D.
Clarkson
Clarkson is the surname of American singer, songwriter, and television personality Kelly Clarkson, who rose to fame as the first winner of "American Idol."
-
E.
McX
McX is a fictional philosopher introduced by W.V.O. Quine in his essay "On What There Is" to illustrate and critique certain metaphysical views about existence and ontological commitment.
- F. None of above. chosen
Statements (52)
| Predicate | Object |
|---|---|
| instanceOf |
finite simple group
ⓘ
group ⓘ sporadic simple group ⓘ |
| discoveredBy | Jack McLaughlin NERFINISHED ⓘ |
| fullName | McLaughlin group NERFINISHED ⓘ |
| hasElementOrder |
10
ⓘ
11 ⓘ 12 ⓘ 14 ⓘ 15 ⓘ 2 ⓘ 20 ⓘ 22 ⓘ 23 ⓘ 3 ⓘ 4 ⓘ 5 ⓘ 6 ⓘ 7 ⓘ 8 ⓘ 9 ⓘ |
| hasMaximalSubgroupIsomorphicTo |
2^4:A_7
ⓘ
2^6:U_4(2) ⓘ 2^{4+6}:3A_6 ⓘ 3^2:2S_5 ⓘ A_8 NERFINISHED ⓘ M_{22} NERFINISHED ⓘ M_{23} ⓘ U_4(3) ⓘ |
| hasNontrivialSchurMultiplier | true ⓘ |
| hasOuterAutomorphisms | true ⓘ |
| hasTransitiveActionOn | 275 points ⓘ |
| hasTrivialCenter | true ⓘ |
| isNonAbelian | true ⓘ |
| isPerfect | true ⓘ |
| isSimple | true ⓘ |
| isSubgroupOf |
Co_1
NERFINISHED
ⓘ
Monster group NERFINISHED ⓘ |
| minimalFaithfulPermutationDegree | 275 ⓘ |
| namedAfter | Jack McLaughlin NERFINISHED ⓘ |
| order | 898128000 ⓘ |
| orderFactorization |
11
ⓘ
23 ⓘ 2^7 ⓘ 3^6 ⓘ 5^3 ⓘ 7 ⓘ |
| outerAutomorphismGroupOrder | 2 ⓘ |
| rank3PermutationGroup | true ⓘ |
| relatedTo | Leech lattice NERFINISHED ⓘ |
| schurMultiplierOrder | 3 ⓘ |
| yearDiscovered | 1969 ⓘ |
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: McL Description of subject: McL is one of the 26 sporadic simple groups, known as the McLaughlin group, notable for its highly symmetric and exceptional finite group structure.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.