GL(2,2)

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:actsOn 2-dimensional vector space over F_2
gptkbp:automorphismGroup F_2^2 as a vector space
gptkbp:centralTo trivial group
gptkbp:contains all 2x2 invertible matrices over F_2
gptkbp:containsIdentity true
gptkbp:field finite field with 2 elements
gptkbp:fullName general linear group of 2x2 invertible matrices over the field with 2 elements
gptkbp:hasElementOrder 2
3
gptkbp:hasSubgroup cyclic group of order 2
cyclic group of order 3
https://www.w3.org/2000/01/rdf-schema#label GL(2,2)
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:symmetric_group_S_3
gptkbp:isSimple false
gptkbp:notation GL_2(2)
gptkbp:order 6
gptkbp:bfsParent gptkb:Dihedral_group_of_order_8
gptkbp:bfsLayer 8