automorphismGroupOrder
P39245
predicate
Indicates the size of the group of all structure-preserving bijections (automorphisms) of an object under composition.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasAutomorphismGroupOrder | 4 |
| automorphismGroupOrder canonical | 2 |
| hasCollineationGroupOrder | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: automorphismGroupOrder
Generated description
Indicates the size of the group of all structure-preserving bijections (automorphisms) of an object under composition.
Sample triples (7)
| Subject | Object |
|---|---|
| Klein quartic | 168 ⓘ |
| Fano plane | 168 via predicate surface "hasAutomorphismGroupOrder" ⓘ |
| Fano plane | 168 via predicate surface "hasCollineationGroupOrder" ⓘ |
| extended binary Golay code | 244823040 ⓘ |
|
Hurwitz surface
linked to:
Hurwitz surfaces
|
84(g−1) via predicate surface "hasAutomorphismGroupOrder" ⓘ |
|
Klein quartic
linked to:
Hurwitz surfaces
|
168 via predicate surface "hasAutomorphismGroupOrder" ⓘ |
|
Macbeath surface
linked to:
Hurwitz surfaces
|
504 via predicate surface "hasAutomorphismGroupOrder" ⓘ |