Projective General Linear Group of 2x2 matrices over field with 7 elements
URI: https://gptkb.org/entity/Projective_General_Linear_Group_of_2x2_matrices_over_field_with_7_elements
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
projective linear group |
| gptkbp:abbreviation |
gptkb:PGL(2,7)
|
| gptkbp:actsOn |
projective line over field with 7 elements
|
| gptkbp:automorphismGroup |
C2
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:definedIn |
finite field with 7 elements
|
| gptkbp:hasElementOrder |
2
3 4 7 8 |
| gptkbp:hasSubgroup |
gptkb:PSL(2,7)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Projective General Linear Group of 2x2 matrices over field with 7 elements
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
PSL(2,7) ⋊ C2
|
| gptkbp:isQuotientOf |
GL(2,7) by scalar matrices
|
| gptkbp:isSimple |
false
|
| gptkbp:order |
336
|
| gptkbp:relatedTo |
gptkb:PSL(2,7)
|
| gptkbp:bfsParent |
gptkb:PGL(2,7)
|
| gptkbp:bfsLayer |
7
|