projective linear group of order 168
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Fano_plane
|
| gptkbp:automorphismGroup |
order 2
order 336 |
| gptkbp:hasSubgroup |
gptkb:S_8
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective linear group of order 168
|
| gptkbp:isGroupOfSymmetriesOf |
gptkb:Fano_plane
|
| gptkbp:isMinimalSimpleGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,7)
gptkb:GL(3,2) gptkb:PGL(2,7) |
| gptkbp:isSimple |
true
|
| gptkbp:isTransitiveOn |
7 lines
7 points |
| gptkbp:order |
168
|
| gptkbp:presentedBy |
⟨a,b|a^7=b^3=(ab)^2=1⟩
|
| gptkbp:bfsParent |
gptkb:PSL(3,2)
|
| gptkbp:bfsLayer |
7
|