|
gptkbp:instanceOf
|
gptkb:group_of_people
|
|
gptkbp:automorphismGroup
|
C2
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:has_trivial_center
|
true
|
|
gptkbp:hasSubgroup
|
gptkb:symmetric_group_S8
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
alternating group A8
|
|
gptkbp:is_maximal_subgroup_of
|
gptkb:symmetric_group_S8
|
|
gptkbp:is_not_a_direct_product_of_smaller_groups
|
true
|
|
gptkbp:is_not_abelian
|
true
|
|
gptkbp:is_not_cyclic
|
true
|
|
gptkbp:is_not_isomorphic_to_any_dihedral_group
|
true
|
|
gptkbp:is_not_isomorphic_to_any_smaller_alternating_group
|
true
|
|
gptkbp:is_not_isomorphic_to_any_symmetric_group
|
true
|
|
gptkbp:is_not_nilpotent
|
true
|
|
gptkbp:is_not_solvable
|
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_linear_representation_over_complex_numbers
|
7
|
|
gptkbp:minimal_degree_of_faithful_permutation_representation
|
8
|
|
gptkbp:notation
|
gptkb:A8
|
|
gptkbp:number_of_conjugacy_classes
|
15
|
|
gptkbp:number_of_elements_of_order_15
|
672
|
|
gptkbp:number_of_elements_of_order_2
|
315
|
|
gptkbp:number_of_elements_of_order_3
|
560
|
|
gptkbp:number_of_elements_of_order_5
|
504
|
|
gptkbp:number_of_elements_of_order_7
|
720
|
|
gptkbp:order
|
20160
|
|
gptkbp:bfsParent
|
gptkb:Projective_Special_Linear_Group_of_4x4_matrices_over_field_with_2_elements
|
|
gptkbp:bfsLayer
|
7
|