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)

Label Occurrences
Co1 canonical 2
Co1·2 1

How this entity was disambiguated

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 Horton Conway
linked to: John H. Conway
hasAtlasName Co1
hasAutomorphismGroup Co1·2
linked to: Co1
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 group Co0
linked to: Conway groups
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

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Co1 hasAutomorphismGroup Co1·2
linked to: Co1