General Linear Group of 3x3 invertible matrices over the field with 2 elements
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
| gptkbp:actsOn |
3-dimensional vector space over GF(2)
|
| gptkbp:automorphismGroup |
2
|
| gptkbp:centerOrder |
1
|
| gptkbp:commonName |
gptkb:GL(3,2)
|
| gptkbp:field |
GF(2)
|
| gptkbp:hasElementOrder |
2
1 3 4 7 |
| gptkbp:hasSubgroup |
gptkb:S_4
gptkb:A_4 gptkb:Z_7 GL(3, q) for q > 2 |
| https://www.w3.org/2000/01/rdf-schema#label |
General Linear Group of 3x3 invertible matrices over the field with 2 elements
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,7)
projective special linear group PSL(2,7) |
| gptkbp:isSimple |
true
|
| gptkbp:numberOfConjugacyClasses |
6
|
| gptkbp:order |
168
|
| gptkbp:bfsParent |
gptkb:GL(3,2)
|
| gptkbp:bfsLayer |
7
|