Statements (25)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:automorphismGroup |
gptkb:S_4
|
gptkbp:centralTo |
trivial
|
gptkbp:dimensions |
4
|
gptkbp:fieldOrder |
3
|
gptkbp:fullName |
gptkb:Projective_Special_Linear_Group_of_4x4_matrices_over_field_with_3_elements
|
gptkbp:hasMaximalSubgroup |
various types including parabolic, stabilizers, and others
|
gptkbp:hasSubgroup |
gptkb:PGL_4(3)
|
https://www.w3.org/2000/01/rdf-schema#label |
PSL 4(3)
|
gptkbp:isAlternatingGroup |
false
|
gptkbp:isChevalleyGroup |
true
|
gptkbp:isGroupOfLieType |
true
|
gptkbp:isNonAbelian |
true
|
gptkbp:isPerfect |
true
|
gptkbp:isQuasisimple |
true
|
gptkbp:isQuotientOf |
gptkb:SL_4(3)
|
gptkbp:isSimple |
true
|
gptkbp:isSporadic |
false
|
gptkbp:isTransitiveOnProjectiveSpace |
true
|
gptkbp:minimalDegreeOfFaithfulLinearRepresentation |
15
|
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
40
|
gptkbp:notation |
L_4(3)
|
gptkbp:order |
25920
|
gptkbp:bfsParent |
gptkb:PSL_4(2)
|
gptkbp:bfsLayer |
7
|