GL(2,3)

URI: https://gptkb.org/entity/GL(2,3)
GPTKB entity
Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:actsOn gptkb:2-dimensional_vector_space_over_F3
gptkbp:centralTo cyclic group of order 2
gptkbp:field gptkb:finite_field_of_order_3
gptkbp:fullName gptkb:General_Linear_Group_of_2x2_invertible_matrices_over_the_field_with_3_elements
gptkbp:hasElementOrder 2
3
4
6
8
gptkbp:hasSubgroup gptkb:SL(2,3)
gptkb:cyclic_group_of_order_8
gptkb:symmetric_group_S4
https://www.w3.org/2000/01/rdf-schema#label GL(2,3)
gptkbp:isMatrixGroup true
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:SL(2,3)_×_C2
gptkbp:isPerfect false
gptkbp:isQuotientOf gptkb:PSL(2,3)
gptkbp:isSimple false
gptkbp:isSolvable true
gptkbp:notation gptkb:GL(2,3)
gptkbp:order 48
gptkbp:bfsParent gptkb:PGL(2,3)
gptkbp:bfsLayer 7