Co2
E169184
Co2 is one of the three sporadic Conway groups, a finite simple group arising from the symmetries of the Leech lattice in group theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Co2 canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1483806 — 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: Co2 Context triple: [Conway groups, consistOf, Co2]
-
A.
Carbonne
Carbonne is a small commune in southwestern France, known for its picturesque setting along the Garonne River and traditional rural charm.
-
B.
Oxy
Oxy is the commonly used nickname for Occidental College, a private liberal arts college in Los Angeles, California.
-
C.
COP
COP is the official currency code used internationally to represent the Colombian peso.
-
D.
COP
COP is the main annual United Nations climate summit where countries negotiate global agreements to address climate change.
-
E.
Oxygen
Oxygen is an American television network primarily known for its true-crime and reality programming, targeting a female-oriented audience.
- 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: Co2 Target entity description: Co2 is one of the three sporadic Conway groups, a finite simple group arising from the symmetries of the Leech lattice in group theory.
-
A.
Carbonne
Carbonne is a small commune in southwestern France, known for its picturesque setting along the Garonne River and traditional rural charm.
-
B.
Oxy
Oxy is the commonly used nickname for Occidental College, a private liberal arts college in Los Angeles, California.
-
C.
COP
COP is the official currency code used internationally to represent the Colombian peso.
-
D.
COP
COP is the main annual United Nations climate summit where countries negotiate global agreements to address climate change.
-
E.
Oxygen
Oxygen is an American television network primarily known for its true-crime and reality programming, targeting a female-oriented audience.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
Conway group
ⓘ
finite simple group ⓘ non-abelian simple group ⓘ perfect group ⓘ sporadic simple group ⓘ |
| actsFaithfullyOn | Leech lattice ⓘ |
| actsOn | Leech lattice ⓘ |
| arisesFrom | symmetries of the Leech lattice ⓘ |
| definedOver | integers ⓘ |
| discoveredBy |
John Horton Conway
ⓘ
linked to:
John H. Conway
|
| hasAtlasName | Co2 ⓘ |
| hasElementOfOrder |
11
ⓘ
2 ⓘ 23 ⓘ 3 ⓘ 4 ⓘ 5 ⓘ 6 ⓘ 7 ⓘ |
| hasMinimalFaithfulLinearRepresentation | 22-dimensional over GF(2) ⓘ |
| hasMinimalFaithfulPermutationDegree | 2300 ⓘ |
| hasMinimalFaithfulPermutationRepresentation | degree 2300 ⓘ |
| hasOrder | 42305421312000 ⓘ |
| hasOrderFactorization | 2^18 · 3^6 · 5^3 · 7 · 11 · 23 ⓘ |
| hasOuterAutomorphismGroupOrder | 1 ⓘ |
| hasPrimeDivisor |
11
ⓘ
2 ⓘ 23 ⓘ 3 ⓘ 5 ⓘ 7 ⓘ |
| hasRank | 2-local rank 3 ⓘ |
| hasSchurMultiplierOrder | 1 ⓘ |
| hasStandardNotation | Co2 ⓘ |
| hasTrivialAbelianization | true ⓘ |
| hasTrivialCenter | true ⓘ |
| isCenterless | true ⓘ |
| isFinite | true ⓘ |
| isInvolvedIn |
monster group
ⓘ
linked to:
Monster group
|
| isNonAbelian | true ⓘ |
| isOneOf |
26 sporadic simple groups
ⓘ
three Conway groups ⓘ |
| isSimple | true ⓘ |
| isSubgroupOf |
Co0
ⓘ
automorphism group of the Leech lattice ⓘ |
| isSubquotientOf |
monster group
ⓘ
linked to:
Monster group
|
| isUsedIn |
classification of finite simple groups
ⓘ
finite group theory ⓘ |
| namedAfter |
John Horton Conway
ⓘ
linked to:
John H. Conway
|
| 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: Co2 Description of subject: Co2 is one of the three sporadic Conway groups, a finite simple group arising from the symmetries of the Leech lattice in group theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.