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symmetric group S4

abstract group of order 24
Thing finite_group Q10686891
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symmetric group S4

Summary

symmetric group S4 is a finite group[1].

Key Facts

  • symmetric group S4's instance of is recorded as finite group[2].
  • symmetric group S4's instance of is recorded as symmetric group[3].
  • symmetric group S4's instance of is recorded as non-abelian group[4].
  • symmetric group S4's group cardinality is recorded as {'unit': '1', 'amount': '+24'}[5].

Body

Definition and Type

Recorded instance of include finite group[2], symmetric group[3], and non-abelian group[4].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). symmetric group S4. Retrieved May 3, 2026, from https://4ort.xyz/entity/symmetric-group-s4
MLA “symmetric group S4.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/symmetric-group-s4.
BibTeX @misc{4ortxyz_symmetric-group-s4_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{symmetric group S4}}, year = {2026}, url = {https://4ort.xyz/entity/symmetric-group-s4}, note = {Accessed: 2026-05-03}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 9d ago · Charp238 · 2026-05-29 view diff on Wikidata ↗
    Group properties article id → Symmetric_group:S4
    Nlab id → octahedral group
    Instance of → finite group, symmetric group, non-abelian group
    Imported from → —
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P4215]]: octahedral group"
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