Co1

E169183
Conway group finite simple group sporadic simple group

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.

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All labels observed (2)

Label Occurrences
Co1 canonical 2
Co1·2 1

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.

Conway groups → consistOf → Co1 ⓘ
Co1 → hasAutomorphismGroup → Co1 self-linksurface differs ⓘ
this entity surface form: Co1·2
Co3 → isMaximalSubgroupOf → Co1 ⓘ