outer automorphism of S 6

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf group automorphism
gptkbp:appliesTo gptkb:symmetric_group_S_6
gptkbp:automorphismGroupOfS_6 S_6 ⋊ Z/2Z
gptkbp:describes A nontrivial automorphism of the symmetric group S_6 not arising from conjugation.
gptkbp:discoveredBy C. Jordan
gptkbp:discoveredIn 1870s
gptkbp:features finite symmetric groups
https://www.w3.org/2000/01/rdf-schema#label outer automorphism of S 6
gptkbp:isomorphismType gptkb:Z/2Z
gptkbp:order 2
gptkbp:relatedTo Mathieu group M_{12}
automorphism group of S_6
exceptional isomorphisms
projective linear group PGL(2,9)
gptkbp:bfsParent gptkb:symmetric_group_S_6
gptkbp:bfsLayer 8