Projective General Linear Group of 3x3 matrices over GF(2)
GPTKB entity
Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
projective linear group |
| gptkbp:actsOn |
gptkb:projective_plane_of_order_2
|
| gptkbp:alsoKnownAs |
gptkb:PGL(3,2)
|
| gptkbp:automorphismGroup |
gptkb:Z/2Z
2 |
| gptkbp:centralTo |
trivial group
|
| gptkbp:hasElementOrder |
2
3 4 7 |
| gptkbp:hasNormalSubgroup |
itself
|
| gptkbp:hasSubgroup |
gptkb:S_4
gptkb:Z/2Z gptkb:A_4 gptkb:Z/3Z gptkb:Z/7Z |
| https://www.w3.org/2000/01/rdf-schema#label |
Projective General Linear Group of 3x3 matrices over GF(2)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,7)
gptkb:GL(3,2) gptkb:PSL(3,2) |
| gptkbp:isSimple |
true
|
| gptkbp:minimalDegreeFaithfulPermutationRepresentation |
7
|
| gptkbp:order |
168
|
| gptkbp:SchurMultiplier |
6
|
| gptkbp:bfsParent |
gptkb:PGL(3,2)
|
| gptkbp:bfsLayer |
8
|