Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
2-dimensional vector space over F_5
|
| gptkbp:centralTo |
scalar matrices of F_5^*
|
| gptkbp:contains |
gptkb:SL(2,5)
|
| gptkbp:field |
finite field of order 5
|
| gptkbp:fullName |
General Linear Group of 2x2 invertible matrices over the field with 5 elements
|
| gptkbp:hasSubgroup |
gptkb:SL(2,5)
diagonal matrices normalizer of a Sylow 5-subgroup |
| https://www.w3.org/2000/01/rdf-schema#label |
GL(2,5)
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isPerfect |
false
|
| gptkbp:isQuotientOf |
PGL(2,5)
|
| gptkbp:isSimple |
false
|
| gptkbp:isSolvable |
false
|
| gptkbp:isTransitiveOnNonzeroVectors |
true
|
| gptkbp:notation |
GL_2(5)
|
| gptkbp:order |
480
|
| gptkbp:bfsParent |
gptkb:SL(2,5)
|
| gptkbp:bfsLayer |
7
|