Projective General Linear Group PGL(4,2)
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
projective general linear group |
| gptkbp:actsOn |
projective 3-space over GF(2)
|
| gptkbp:automorphismGroup |
trivial group
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:definedIn |
finite field of order 2
|
| gptkbp:hasSubgroup |
gptkb:PSL(4,2)
gptkb:A_8 gptkb:S_8 |
| https://www.w3.org/2000/01/rdf-schema#label |
Projective General Linear Group PGL(4,2)
|
| gptkbp:isomorphicTo |
gptkb:PSL(4,2)
gptkb:alternating_group_A8 |
| gptkbp:isQuotientOf |
gptkb:GL(4,2)
scalar matrices |
| gptkbp:isSimple |
true
|
| gptkbp:minimalDegreePermutationRepresentation |
15
|
| gptkbp:notation |
gptkb:PGL(4,2)
gptkb:PGL_4(2) |
| gptkbp:order |
20160
|
| gptkbp:permutationRepresentation |
on 15 points
|
| gptkbp:relatedTo |
gptkb:alternating_group_A8
gptkb:GL(4,2) |
| gptkbp:bfsParent |
gptkb:Projective_Special_Linear_Group_of_4x4_matrices_over_field_with_2_elements
|
| gptkbp:bfsLayer |
7
|