PSL(4,2)

URI: https://gptkb.org/entity/PSL(4,2)
GPTKB entity
Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:alternatingGroupIsomorphism gptkb:A8
gptkbp:automorphismGroup S3
gptkbp:centralTo trivial
gptkbp:degree 4
gptkbp:field gptkb:F2
gptkbp:foundInClassificationOfFiniteSimpleGroups true
gptkbp:fullName gptkb:Projective_Special_Linear_Group_of_4x4_matrices_over_field_with_2_elements
gptkbp:hasSubgroup gptkb:PGL(4,2)
https://www.w3.org/2000/01/rdf-schema#label PSL(4,2)
gptkbp:isGroupOfLieType true
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:A8
gptkbp:isPerfect true
gptkbp:isQuotientOf gptkb:SL(4,2)
gptkbp:isSimple true
gptkbp:isTransitiveOn 8 points
gptkbp:minimalDegreePermutationRepresentation 8
gptkbp:notation gptkb:PSL_4(2)
gptkbp:order 20160
gptkbp:SchurMultiplier 6
gptkbp:bfsParent gptkb:Klein_configuration
gptkbp:bfsLayer 5