Statements (26)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:automorphismGroup |
gptkb:C_2
|
gptkbp:generation |
3-cycles
|
gptkbp:has_trivial_center |
true
|
gptkbp:hasNormalSubgroup |
symmetric group S_7
|
gptkbp:hasSubgroup |
gptkb:alternating_group_A_8
gptkb:symmetric_group_S_8 symmetric group S_7 |
https://www.w3.org/2000/01/rdf-schema#label |
alternating group A 7
|
gptkbp:is_a_simple_non-abelian_group |
true
|
gptkbp:is_a_transitive_subgroup_of |
symmetric group S_7
|
gptkbp:is_centerless |
true
|
gptkbp:is_not_a_subgroup_of |
gptkb:alternating_group_A_6
|
gptkbp:is_not_abelian |
true
|
gptkbp:is_not_cyclic |
true
|
gptkbp:is_not_nilpotent |
true
|
gptkbp:is_not_solvable |
true
|
gptkbp:isNonAbelian |
true
|
gptkbp:isPerfect |
true
|
gptkbp:isSimple |
true
|
gptkbp:minimal_degree_of_faithful_permutation_representation |
7
|
gptkbp:notation |
gptkb:A_7
|
gptkbp:order |
2520
|
gptkbp:Schur_multiplier |
6
|
gptkbp:bfsParent |
gptkb:alternating_group_A_8
|
gptkbp:bfsLayer |
8
|