Statements (35)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
projective special linear group |
| gptkbp:automorphismGroup |
gptkb:PGL(2,7)
cyclic group of order 2 |
| gptkbp:centralTo |
trivial group
|
| gptkbp:field |
gptkb:finite_field_of_order_7
|
| gptkbp:hasSubgroup |
gptkb:S_4
gptkb:A_8 gptkb:D_14 gptkb:M_21 gptkb:Z_2 gptkb:Z_3 gptkb:Z_7 |
| https://www.w3.org/2000/01/rdf-schema#label |
PSL(2,7)
|
| gptkbp:isAlternatingGroup |
false
|
| gptkbp:isChevalleyGroup |
true
|
| gptkbp:isMathieuGroup |
false
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:GL(3,2)
gptkb:PSL(3,2) |
| gptkbp:isPerfect |
true
|
| gptkbp:isQuasisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:isSporadic |
false
|
| gptkbp:isSymmetricGroup |
false
|
| gptkbp:isTransitiveOn |
gptkb:projective_line_over_F_7
|
| gptkbp:minimalDegreeOfFaithfulLinearRepresentation |
3
|
| gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
7
|
| gptkbp:notation |
gptkb:L_2(7)
gptkb:PSL_2(7) Σ(168) |
| gptkbp:order |
168
|
| gptkbp:SchurMultiplier |
cyclic group of order 3
|
| gptkbp:bfsParent |
gptkb:Klein_quartic
|
| gptkbp:bfsLayer |
5
|