|
gptkbp:instanceOf
|
gptkb:group_of_people
projective special linear group
|
|
gptkbp:automorphismGroup
|
336
C2
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:field
|
gptkb:finite_field_of_order_7
|
|
gptkbp:hasFaithful3DimensionalRepresentation
|
true
|
|
gptkbp:hasOuterAutomorphism
|
true
|
|
gptkbp:hasSubgroup
|
gptkb:S_4
gptkb:A_4
gptkb:A_8
gptkb:C_3
gptkb:D_14
gptkb:M_21
gptkb:C_7
gptkb:GL_3(2)
gptkb:PSL_3(2)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
PSL 2(7)
|
|
gptkbp:isAlternatingGroup
|
false
|
|
gptkbp:isChevalleyGroup
|
true
|
|
gptkbp:isFirstNonAbelianSimpleGroupWithOrderNotDivisibleBy5
|
true
|
|
gptkbp:isMathieuGroup
|
false
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:GL_3(2)
gptkb:PSL_3(2)
gptkb:PSigmaL_2(7)
|
|
gptkbp:isPerfect
|
true
|
|
gptkbp:isQuasisimple
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:isSmallestNonAbelianSimpleGroupWithOrder168
|
true
|
|
gptkbp:isSmallestNonAbelianSimpleGroupWithOrderDivisibleBy7
|
true
|
|
gptkbp:isSporadic
|
false
|
|
gptkbp:isSymmetricGroup
|
false
|
|
gptkbp:isTransitiveOn
|
gptkb:projective_line_over_F_7
|
|
gptkbp:minimalDegreeOfFaithfulLinearRepresentation
|
3
|
|
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation
|
7
|
|
gptkbp:notation
|
gptkb:PSL(2,7)
gptkb:L_2(7)
gptkb:PSL_2(7)
|
|
gptkbp:order
|
168
|
|
gptkbp:orderOfElementOfOrder2
|
21
|
|
gptkbp:orderOfElementOfOrder3
|
56
|
|
gptkbp:orderOfElementOfOrder4
|
42
|
|
gptkbp:orderOfElementOfOrder7
|
48
|
|
gptkbp:SchurMultiplier
|
6
|
|
gptkbp:bfsParent
|
gptkb:PSL(2,7)
|
|
gptkbp:bfsLayer
|
6
|