PSL 3(2)

URI: https://gptkb.org/entity/PSL_3(2)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people
gptkbp:actsOn	gptkb:projective_plane_of_order_2
gptkbp:automorphismGroup	2 336
gptkbp:centralTo	trivial
gptkbp:fullName	gptkb:Projective_Special_Linear_Group_of_3x3_matrices_over_field_with_2_elements
gptkbp:hasSubgroup	gptkb:S_4 gptkb:A_4 gptkb:D_14 gptkb:Z_2 gptkb:Z_3 gptkb:Z_7
https://www.w3.org/2000/01/rdf-schema#label	PSL 3(2)
gptkbp:isNonAbelian	true
gptkbp:isNotIsomorphicTo	gptkb:A_7
gptkbp:isomorphicTo	gptkb:PSL_2(7) gptkb:A_7 gptkb:GL_3(2) gptkb:PGL_2(7) gptkb:PGL_3(2) gptkb:SL_3(2)
gptkbp:isSimple	true
gptkbp:isTransitiveOn	7 lines 7 points
gptkbp:minimalDegreePermutationRepresentation	7
gptkbp:order	168
gptkbp:SchurMultiplier	6
gptkbp:bfsParent	gptkb:PSL_2(7) gptkb:PSL_4(2)
gptkbp:bfsLayer	7