Statements (27)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:automorphismGroup |
gptkb:Fano_plane
|
gptkbp:centralTo |
trivial group
|
gptkbp:field |
finite field of order 2
|
gptkbp:fullName |
Special Linear Group of 3x3 matrices over the field with 2 elements
|
gptkbp:hasOuterAutomorphism |
true
|
gptkbp:hasSubgroup |
gptkb:S_4
gptkb:A_4 gptkb:Z_2 gptkb:Z_3 gptkb:Z_7 gptkb:GL_3(2) gptkb:D_7 |
https://www.w3.org/2000/01/rdf-schema#label |
SL 3(2)
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
gptkb:PSL_2(7)
gptkb:GL_3(2) gptkb:PSL_3(2) gptkb:projective_special_linear_group_PSL_2(7) |
gptkbp:isPerfect |
true
|
gptkbp:isSimple |
true
|
gptkbp:isTransitiveOn |
gptkb:projective_plane_of_order_2
|
gptkbp:matrixSize |
3
|
gptkbp:notation |
gptkb:SL_3(2)
|
gptkbp:order |
168
|
gptkbp:bfsParent |
gptkb:PSL_3(2)
|
gptkbp:bfsLayer |
8
|