SL(2,5)

URI: https://gptkb.org/entity/SL(2,5)
GPTKB entity
Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:centralTo cyclic group of order 2
gptkbp:field gptkb:finite_field_with_5_elements
gptkbp:fullName gptkb:Special_Linear_Group_of_2x2_matrices_over_field_with_5_elements
gptkbp:hasIrreducibleRepresentations yes
gptkbp:hasSchurMultiplier cyclic group of order 2
gptkbp:hasSubgroup gptkb:GL(2,5)
https://www.w3.org/2000/01/rdf-schema#label SL(2,5)
gptkbp:isCoveringGroupOf gptkb:A5
gptkbp:isDoubleCoverOf gptkb:A5
gptkbp:isFinite true
gptkbp:isMatrixGroup true
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:binary_icosahedral_group
gptkbp:isPerfect true
gptkbp:isQuotientOf gptkb:A5
gptkb:binary_icosahedral_group
gptkbp:isSimple true
gptkbp:isUniversalCentralExtensionOf gptkb:A5
gptkbp:notation gptkb:SL_2(5)
gptkbp:order 120
gptkbp:bfsParent gptkb:binary_icosahedral_group
gptkbp:bfsLayer 6