|
gptkbp:instanceOf
|
gptkb:group_of_people
|
|
gptkbp:automorphismGroup
|
gptkb:C_2
gptkb:symmetric_group_S_8
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:generation
|
3-cycles
double transpositions
|
|
gptkbp:has_derived_length
|
1
|
|
gptkbp:has_Schur_multiplier
|
gptkb:C_2
|
|
gptkbp:has_trivial_center
|
true
|
|
gptkbp:hasElementOrder
|
2
15
21
3
35
5
7
|
|
gptkbp:hasNormalSubgroup
|
gptkb:symmetric_group_S_8
|
|
gptkbp:hasSubgroup
|
gptkb:symmetric_group_S_8
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
alternating group A 8
|
|
gptkbp:is_doubly_transitive
|
true
|
|
gptkbp:is_maximal_subgroup_of
|
gptkb:symmetric_group_S_8
|
|
gptkbp:is_not_a_subgroup_of
|
gptkb:alternating_group_A_7
|
|
gptkbp:is_not_abelian
|
true
|
|
gptkbp:is_not_cyclic
|
true
|
|
gptkbp:is_not_nilpotent
|
true
|
|
gptkbp:is_not_solvable
|
true
|
|
gptkbp:is_the_only_non-abelian_simple_group_of_order_20160
|
true
|
|
gptkbp:is_transitive
|
true
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:projective_special_linear_group_PSL(4,2)
|
|
gptkbp:isPerfect
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:minimal_degree_of_faithful_permutation_representation
|
8
|
|
gptkbp:notation
|
gptkb:A_8
|
|
gptkbp:order
|
20160
|
|
gptkbp:bfsParent
|
gptkb:SL(4,2)
|
|
gptkbp:bfsLayer
|
7
|