|
gptkbp:instanceOf
|
permutation group
|
|
gptkbp:automorphismGroup
|
gptkb:C_2
gptkb:S_5
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:degree
|
5
|
|
gptkbp:fullName
|
gptkb:symmetric_group_on_5_elements
|
|
gptkbp:generation
|
(1 2)
(1 2 3 4 5)
|
|
gptkbp:hasElementOrder
|
2
3
4
5
|
|
gptkbp:hasNormalSubgroup
|
gptkb:A_5
|
|
gptkbp:hasSubgroup
|
gptkb:D_5
gptkb:S_4
gptkb:C_5
gptkb:S_6
gptkb:A_5
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
S 5
|
|
gptkbp:isGroupOfPermutationsOn
|
5 elements
|
|
gptkbp:isMaximalIn
|
gptkb:S_6
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:Aut(A_5)
|
|
gptkbp:isPrimitive
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:isSolvable
|
false
|
|
gptkbp:isTransitiveOn
|
true
|
|
gptkbp:notation
|
gptkb:S_5
gptkb:Sym(5)
Σ_5
|
|
gptkbp:numberOfConjugacyClasses
|
7
|
|
gptkbp:numberOfElementsOfOrder2
|
25
|
|
gptkbp:numberOfElementsOfOrder3
|
20
|
|
gptkbp:numberOfElementsOfOrder4
|
30
|
|
gptkbp:numberOfElementsOfOrder5
|
24
|
|
gptkbp:order
|
120
|
|
gptkbp:quotientByA_5
|
gptkb:C_2
|
|
gptkbp:bfsParent
|
gptkb:Clebsch_diagonal_cubic_surface
|
|
gptkbp:bfsLayer
|
6
|