projective linear group PGL(3,2)
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:projective_plane_of_order_2
|
| gptkbp:automorphismGroup |
gptkb:Fano_plane
trivial group |
| gptkbp:centralTo |
trivial group
|
| gptkbp:hasMinimalDegreePermutationRepresentation |
7
|
| gptkbp:hasSubgroup |
PGL(3,2^n) for n>1
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective linear group PGL(3,2)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,7)
gptkb:GL(3,2) gptkb:L_2(7) gptkb:PSL(3,2) |
| gptkbp:isSimple |
true
|
| gptkbp:isTransitiveOn |
lines of the Fano plane
points of the Fano plane |
| gptkbp:order |
168
|
| gptkbp:bfsParent |
gptkb:group_of_automorphisms_of_the_Fano_plane
|
| gptkbp:bfsLayer |
8
|