PSL 4(2)

URI: https://gptkb.org/entity/PSL_4(2)
GPTKB entity
Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:automorphismGroup gptkb:S_3
gptkbp:centralTo trivial
gptkbp:fieldOrder 2
gptkbp:foundInClassificationOfFiniteSimpleGroups true
gptkbp:fullName gptkb:Projective_Special_Linear_Group_of_4x4_matrices_over_field_with_2_elements
gptkbp:hasSubgroup gptkb:PSL_2(7)
gptkb:A_7
gptkb:PSL_3(2)
gptkb:PSL_4(3)
gptkb:S_8
https://www.w3.org/2000/01/rdf-schema#label PSL 4(2)
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:A_8
gptkbp:isPerfect true
gptkbp:isQuotientOf gptkb:SL_4(2)
gptkbp:isSimple true
gptkbp:matrixSize 4
gptkbp:minimalDegreeOfFaithfulLinearRepresentation 7
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation 8
gptkbp:notation gptkb:A_8
L_4(2)
gptkbp:order 20160
gptkbp:SchurMultiplier 6
gptkbp:bfsParent gptkb:PSL(4,2)
gptkbp:bfsLayer 6