|
gptkbp:instanceOf
|
gptkb:group_of_people
simple group
|
|
gptkbp:automorphismGroup
|
gptkb:symmetric_group_S_6
cyclic group of order 4
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:has_trivial_Schur_multiplier
|
false
|
|
gptkbp:hasElementOrder
|
2
10
3
4
5
6
|
|
gptkbp:hasSubgroup
|
gptkb:symmetric_group_S_6
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
alternating group A 6
|
|
gptkbp:is_a_simple_non-abelian_group_of_smallest_order_with_nontrivial_covering_group
|
true
|
|
gptkbp:is_a_simple_non-abelian_group_of_smallest_order_with_nontrivial_double_cover
|
true
|
|
gptkbp:is_a_simple_non-abelian_group_of_smallest_order_with_nontrivial_outer_automorphism_group
|
true
|
|
gptkbp:is_a_simple_non-abelian_group_of_smallest_order_with_nontrivial_Schur_multiplier
|
true
|
|
gptkbp:is_not_a_direct_product_of_smaller_groups
|
true
|
|
gptkbp:is_not_a_subgroup_of
|
gptkb:alternating_group_A_7
alternating group A_5
|
|
gptkbp:is_not_abelian
|
true
|
|
gptkbp:is_not_cyclic
|
true
|
|
gptkbp:is_not_dihedral
|
true
|
|
gptkbp:is_not_isomorphic_to
|
gptkb:symmetric_group_S_6
gptkb:symmetric_group_S_5
gptkb:alternating_group_A_7
alternating group A_5
symmetric group S_7
|
|
gptkbp:is_not_nilpotent
|
true
|
|
gptkbp:is_not_quaternion
|
true
|
|
gptkbp:is_not_solvable
|
true
|
|
gptkbp:is_the_only_alternating_group_with_nontrivial_outer_automorphism_group
|
true
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:PSL(2,9)
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:minimal_degree_of_faithful_permutation_representation
|
6
|
|
gptkbp:notation
|
gptkb:A_6
|
|
gptkbp:order
|
360
|
|
gptkbp:Schur_multiplier
|
gptkb:cyclic_group_of_order_6
|
|
gptkbp:bfsParent
|
gptkb:symmetric_group_S_6
gptkb:Aut(A_6)
|
|
gptkbp:bfsLayer
|
8
|