Janko group J4
E656681
Janko group J4 is one of the sporadic simple groups in finite group theory, notable as the largest of the Janko groups and a significant example among the 26 sporadic groups.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Janko group J4 canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7338411 — 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: Janko group J4 Context triple: [Monster group, hasSubgroup, Janko group J4]
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A.
Group 47
Group 47 was an influential postwar German literary circle that fostered many prominent writers and helped shape the direction of modern German literature.
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B.
J40
The J40 is a classic generation of the Toyota Land Cruiser renowned for its rugged off-road capability and iconic, boxy design.
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C.
Pertnjara Group
The Pertnjara Group is a geological rock unit within central Australia's Amadeus Basin, known for its sedimentary sequences that record Paleozoic depositional environments.
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D.
J-4
J-4 is the logistics directorate within a joint military staff responsible for planning, coordinating, and overseeing logistics and sustainment operations.
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E.
Klupca
Klupca is the highest peak on the Croatian island of Korčula, known for its panoramic views over the surrounding Adriatic landscape.
- 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: Janko group J4 Target entity description: Janko group J4 is one of the sporadic simple groups in finite group theory, notable as the largest of the Janko groups and a significant example among the 26 sporadic groups.
-
A.
Group 47
Group 47 was an influential postwar German literary circle that fostered many prominent writers and helped shape the direction of modern German literature.
-
B.
J40
The J40 is a classic generation of the Toyota Land Cruiser renowned for its rugged off-road capability and iconic, boxy design.
-
C.
Pertnjara Group
The Pertnjara Group is a geological rock unit within central Australia's Amadeus Basin, known for its sedimentary sequences that record Paleozoic depositional environments.
-
D.
J-4
J-4 is the logistics directorate within a joint military staff responsible for planning, coordinating, and overseeing logistics and sustainment operations.
-
E.
Klupca
Klupca is the highest peak on the Croatian island of Korčula, known for its panoramic views over the surrounding Adriatic landscape.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
finite simple group
ⓘ
group in abstract algebra ⓘ sporadic simple group ⓘ |
| belongsTo | sporadic groups ⓘ |
| discoveredBy | Zvonimir Janko NERFINISHED ⓘ |
| discoveryYear | 1975 ⓘ |
| documentedIn | Atlas of Finite Groups NERFINISHED ⓘ |
| hasAtlasName | J4 NERFINISHED ⓘ |
| hasLargeMinimalPermutationRepresentation | true ⓘ |
| hasMaximalSubgroup |
11^{1+2}.(5×2S4)
ⓘ
29:28 ⓘ 2^{1+12}.3.M22.2 ⓘ 2^{4+12}.(3×A6).2 NERFINISHED ⓘ 31:15 ⓘ 37:18 ⓘ 43:14 ⓘ |
| hasOuterAutomorphismGroupOrder | 1 ⓘ |
| hasSchurMultiplierOrder | 1 ⓘ |
| hasSporadicLabel | J4 NERFINISHED ⓘ |
| hasTrivialCenter | true ⓘ |
| hasTrivialOuterAutomorphismGroup | true ⓘ |
| hasTrivialSchurMultiplier | true ⓘ |
| isExampleIn |
finite group theory
ⓘ
sporadic group theory ⓘ |
| isLargestOf | Janko groups NERFINISHED ⓘ |
| isLargestSporadicDiscoveredBy | Zvonimir Janko NERFINISHED ⓘ |
| isNonAbelian | true ⓘ |
| isOneOf | 26 sporadic simple groups ⓘ |
| isPerfect | true ⓘ |
| isSimple | true ⓘ |
| isUsedIn | classification of finite simple groups ⓘ |
| minimalFaithfulPermutationDegree | 173067389 ⓘ |
| minimalFaithfulPermutationDegreeApprox | 1.7×10^8 ⓘ |
| namedAfter | Zvonimir Janko NERFINISHED ⓘ |
| notation | J4 NERFINISHED ⓘ |
| order | 86775571046077562880 ⓘ |
| orderFactorization | 2^21 × 3^3 × 5 × 7 × 11^3 × 23 × 29 × 31 × 37 × 43 ⓘ |
| orderPowerOf11 | 11^3 ⓘ |
| orderPowerOf2 | 2^21 ⓘ |
| orderPowerOf3 | 3^3 ⓘ |
| orderPowerOf5 | 5 ⓘ |
| orderPowerOf7 | 7 ⓘ |
| orderPrimeFactor |
23
ⓘ
29 ⓘ 31 ⓘ 37 ⓘ 43 ⓘ |
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: Janko group J4 Description of subject: Janko group J4 is one of the sporadic simple groups in finite group theory, notable as the largest of the Janko groups and a significant example among the 26 sporadic groups.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.