Co1
E169183
Co1 is the largest of the three sporadic Conway groups, a finite simple group arising as a symmetry group related to the Leech lattice in 24-dimensional space.
All labels observed (2)
How this entity was disambiguated
This entity first appeared as the object of triple T1483805 — 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: Co1 Context triple: [Conway groups, consistOf, Co1]
-
A.
COLL
COLL is the standard abbreviation for the Division of Colloid and Surface Chemistry, a professional body focused on research and advancement in colloid and surface science.
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B.
COLM
COLM is the stock ticker symbol for Columbia Sportswear Company, a global outdoor apparel, footwear, and equipment manufacturer traded on public markets.
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C.
COU
COU (Council of Ontario Universities) is a coordinating body that represents and advocates for Ontario’s publicly funded universities.
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D.
CoE
CoE is the commonly used abbreviation for the Council of Europe, a pan-European intergovernmental organization focused on promoting human rights, democracy, and the rule of law.
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E.
Kols
Kols are an indigenous tribal community of central India, primarily residing in the state of Madhya Pradesh and known for their distinct cultural traditions and close association with forest and agrarian livelihoods.
- 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: Co1 Target entity description: Co1 is the largest of the three sporadic Conway groups, a finite simple group arising as a symmetry group related to the Leech lattice in 24-dimensional space.
-
A.
COLL
COLL is the standard abbreviation for the Division of Colloid and Surface Chemistry, a professional body focused on research and advancement in colloid and surface science.
-
B.
COLM
COLM is the stock ticker symbol for Columbia Sportswear Company, a global outdoor apparel, footwear, and equipment manufacturer traded on public markets.
-
C.
COU
COU (Council of Ontario Universities) is a coordinating body that represents and advocates for Ontario’s publicly funded universities.
-
D.
CoE
CoE is the commonly used abbreviation for the Council of Europe, a pan-European intergovernmental organization focused on promoting human rights, democracy, and the rule of law.
-
E.
Kols
Kols are an indigenous tribal community of central India, primarily residing in the state of Madhya Pradesh and known for their distinct cultural traditions and close association with forest and agrarian livelihoods.
- F. None of above. chosen
Statements (53)
| Predicate | Object |
|---|---|
| instanceOf |
Conway group
ⓘ
finite simple group ⓘ sporadic simple group ⓘ |
| actsOn | Leech lattice ⓘ |
| belongsTo | 26 sporadic simple groups ⓘ |
| constructedAs | quotient of Co0 by its center ⓘ |
| definedOver | integers ⓘ |
| dimensionOfAssociatedLattice | 24 ⓘ |
| discoverer |
John H. Conway
ⓘ
surface form:
John Horton Conway
|
| hasAtlasName | Co1 ⓘ |
| hasAutomorphismGroup |
Co1
self-linksurface differs
ⓘ
surface form:
Co1·2
|
| hasConjugacyClasses | 21 ⓘ |
| hasElementOfOrder |
11
ⓘ
13 ⓘ 2 ⓘ 23 ⓘ 29 ⓘ 3 ⓘ 4 ⓘ 5 ⓘ 6 ⓘ 7 ⓘ 8 ⓘ |
| hasPrimeDivisor |
11
ⓘ
13 ⓘ 2 ⓘ 23 ⓘ 29 ⓘ 3 ⓘ 5 ⓘ 7 ⓘ |
| hasRank3PermutationRepresentation | true ⓘ |
| hasTrivialCenter | true ⓘ |
| isInvolvedIn | classification of finite simple groups ⓘ |
| isLargestOf | three sporadic Conway groups ⓘ |
| isNonAbelian | true ⓘ |
| isPerfectGroup | true ⓘ |
| isSubgroupOf |
Conway groups
ⓘ
surface form:
Conway group Co0
|
| minimalFaithfulLinearRepresentationDegree | 24 ⓘ |
| minimalFaithfulPermutationDegree | 98280 ⓘ |
| order | 4157776806543360000 ⓘ |
| orderFactorization |
11
ⓘ
13 ⓘ 23 ⓘ 29 ⓘ 2^21 ⓘ 3^9 ⓘ 5^4 ⓘ 7^2 ⓘ |
| outerAutomorphismGroup | C2 ⓘ |
| relatedGroup |
Co2
ⓘ
Co3 ⓘ |
| relatedTo | Leech lattice ⓘ |
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: Co1 Description of subject: Co1 is the largest of the three sporadic Conway groups, a finite simple group arising as a symmetry group related to the Leech lattice in 24-dimensional space.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Co1·2