A 5

URI: https://gptkb.org/entity/A_5
GPTKB entity
Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:automorphismGroup gptkb:C_2
gptkbp:centralTo trivial group
gptkbp:hasElementOrder 2
1
3
5
gptkbp:hasSubgroup gptkb:S_5
https://www.w3.org/2000/01/rdf-schema#label A 5
gptkbp:isGroupOfEvenOrder true
gptkbp:isGroupOfOddOrder false
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:PSL(2,5)
gptkb:icosahedral_group
gptkbp:isPerfect true
gptkbp:isQuotientOf gptkb:binary_icosahedral_group
gptkbp:isSimple true
gptkbp:isSmallestNonAbelianSimpleGroup true
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation 5
gptkbp:numberOfConjugacyClasses 5
gptkbp:order 60
gptkbp:bfsParent gptkb:PSL(2,_11)
gptkb:A_4
gptkb:PSL(2,11)
gptkb:S_5
gptkbp:bfsLayer 7