Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:projective_line_over_GF(7)
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:field |
finite field with 7 elements
|
| gptkbp:fullName |
gptkb:Projective_General_Linear_Group_of_2x2_matrices_over_field_with_7_elements
|
| gptkbp:hasElementOrder |
2
3 4 7 |
| gptkbp:hasSubgroup |
gptkb:PSL_2(7)
|
| https://www.w3.org/2000/01/rdf-schema#label |
PGL 2(7)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
PSL_2(7) ⋊ C_2
|
| gptkbp:isQuotientOf |
GL_2(7)
|
| gptkbp:isSimple |
false
|
| gptkbp:isTransitiveOn |
gptkb:projective_line_over_GF(7)
|
| gptkbp:notation |
gptkb:PGL(2,7)
|
| gptkbp:order |
336
|
| gptkbp:outerAutomorphismGroupOf |
gptkb:PSL_2(7)
|
| gptkbp:PSL_2(7)_index |
2
|
| gptkbp:relatedGroup |
projective transformations of projective line over GF(7)
|
| gptkbp:bfsParent |
gptkb:PSL_3(2)
gptkb:PSigmaL_2(7) |
| gptkbp:bfsLayer |
8
|