Monster group
E169186
The Monster group is the largest sporadic simple group, a highly complex and exceptional structure in group theory that plays a central role in the classification of finite simple groups and in connections with areas like modular functions and string theory.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Monster group canonical | 7 |
| monster group | 3 |
| Monster simple group | 2 |
| Baby Monster group | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1483816 — 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: Monster group Context triple: [Conway groups, relatedTo, Monster group]
-
A.
Group W
Group W was the media and broadcasting division of Westinghouse Electric Corporation, known for owning television and radio stations and producing syndicated programming in the United States.
-
B.
Mischabel group
The Mischabel group is a prominent mountain massif in the Swiss Alps known for including several of the highest peaks in Switzerland, such as the Dom.
-
C.
Monster
"Monster" is a standout track from Kanye West’s critically acclaimed album *My Beautiful Dark Twisted Fantasy*, known for its high-profile guest verses and dark, aggressive themes.
-
D.
Monster
Monster is a 2003 biographical crime drama film in which Charlize Theron delivers an Oscar-winning performance as serial killer Aileen Wuornos.
-
E.
Monster
Monster is a town in the Dutch province of South Holland, known for its coastal location near the North Sea and its greenhouse horticulture.
- 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: Monster group Target entity description: The Monster group is the largest sporadic simple group, a highly complex and exceptional structure in group theory that plays a central role in the classification of finite simple groups and in connections with areas like modular functions and string theory.
-
A.
Group W
Group W was the media and broadcasting division of Westinghouse Electric Corporation, known for owning television and radio stations and producing syndicated programming in the United States.
-
B.
Mischabel group
The Mischabel group is a prominent mountain massif in the Swiss Alps known for including several of the highest peaks in Switzerland, such as the Dom.
-
C.
Monster
"Monster" is a standout track from Kanye West’s critically acclaimed album *My Beautiful Dark Twisted Fantasy*, known for its high-profile guest verses and dark, aggressive themes.
-
D.
Monster
Monster is a 2003 biographical crime drama film in which Charlize Theron delivers an Oscar-winning performance as serial killer Aileen Wuornos.
-
E.
Monster
Monster is a town in the Dutch province of South Holland, known for its coastal location near the North Sea and its greenhouse horticulture.
- F. None of above. chosen
Statements (68)
| Predicate | Object |
|---|---|
| instanceOf |
finite simple group
ⓘ
mathematical object ⓘ sporadic simple group ⓘ |
| actsOn |
196883-dimensional complex vector space
ⓘ
Leech lattice-related structures ⓘ |
| alsoKnownAs |
Fischer–Griess Monster
ⓘ
Friendly Giant ⓘ The Monster ⓘ
surface form:
the Monster
Monster group construction (with collaborators) ⓘ
surface form:
the Monster simple group
|
| centralRoleIn | classification of finite simple groups ⓘ |
| constructedBy | Robert Griess ⓘ |
| constructionMethod | Griess algebra ⓘ |
| discoveredBy |
Bernd Fischer
NERFINISHED
ⓘ
Robert Griess ⓘ |
| field | group theory ⓘ |
| hasAutomorphismGroup | itself ⓘ |
| hasElementOrdersUpTo | 119 ⓘ |
| hasIrreducibleRepresentationOfDimension |
1
ⓘ
196883 ⓘ 21296876 ⓘ |
| hasNonAbelianSylow2Subgroups | true ⓘ |
| hasPrimeDivisors |
11
ⓘ
13 ⓘ 17 ⓘ 19 ⓘ 2 ⓘ 23 ⓘ 29 ⓘ 3 ⓘ 31 ⓘ 41 ⓘ 47 ⓘ 5 ⓘ 59 ⓘ 7 ⓘ 71 ⓘ |
| hasSubgroup |
Monster group
self-linksurface differs
ⓘ
surface form:
Baby Monster group
Conway groups ⓘ
surface form:
Conway group Co1
Fischer group Fi24′ ⓘ Harada–Norton group ⓘ Held group ⓘ Janko group J4 ⓘ McLaughlin group ⓘ Thompson group Th ⓘ |
| hasTrivialCenter | true ⓘ |
| isFinite | true ⓘ |
| isLargestSporadicSimpleGroup | true ⓘ |
| isPerfectGroup | true ⓘ |
| isSimple | true ⓘ |
| isSporadic | true ⓘ |
| isSporadicIn | 26 sporadic simple groups ⓘ |
| minimalFaithfulComplexRepresentationDimension | 196883 ⓘ |
| numberOfConjugacyClasses | 194 ⓘ |
| order | 808017424794512875886459904961710757005754368000000000 ⓘ |
| orderFactorization | 2^46 · 3^20 · 5^9 · 7^6 · 11^2 · 13^3 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 ⓘ |
| outerAutomorphismGroup | trivial group ⓘ |
| predictedBy |
Bernd Fischer
NERFINISHED
ⓘ
Robert Griess ⓘ |
| relatedTo |
Leech lattice
ⓘ
modular forms ⓘ modular functions ⓘ modular j-invariant ⓘ monstrous moonshine ⓘ moonshine theory ⓘ string theory ⓘ vertex operator algebras ⓘ |
| symbol | M ⓘ |
| yearOfFirstConstruction | 1980 ⓘ |
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: Monster group Description of subject: The Monster group is the largest sporadic simple group, a highly complex and exceptional structure in group theory that plays a central role in the classification of finite simple groups and in connections with areas like modular functions and string theory.
Referenced by (13)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
John H. Conway
this entity surface form:
monster group
this entity surface form:
monster group
this entity surface form:
monster group
this entity surface form:
Baby Monster group
this entity surface form:
Monster simple group
this entity surface form:
Monster simple group