projective special linear group PSL 2(7)
GPTKB entity
Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Fano_plane
|
| gptkbp:alsoKnownAs |
gptkb:L_2(7)
|
| gptkbp:automorphismGroup |
336
|
| gptkbp:centralTo |
trivial
|
| gptkbp:field |
finite field of 7 elements
|
| gptkbp:hasElementOrder |
2
3 4 7 |
| gptkbp:hasMaximalSubgroup |
gptkb:S_4
gptkb:D_14 Z_7 : Z_3 Z_2 × Z_2 × Z_2 |
| gptkbp:hasOuterAutomorphismGroupOrder |
2
|
| gptkbp:hasSchurMultiplierOrder |
3
|
| gptkbp:hasSubgroup |
gptkb:alternating_group_A_7
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective special linear group PSL 2(7)
|
| gptkbp:is2TransitiveOn |
7 points
|
| gptkbp:isAlternatingGroup |
false
|
| gptkbp:isChevalleyGroup |
true
|
| gptkbp:isomorphicTo |
gptkb:GL_3(2)
gptkb:PSL_3(2) |
| gptkbp:isQuotientOf |
SL_2(7)
|
| gptkbp:isSimple |
true
|
| gptkbp:isSporadic |
false
|
| gptkbp:isTransitiveOn |
7 points
|
| gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
7
|
| gptkbp:notation |
gptkb:PSL_2(7)
|
| gptkbp:order |
168
|
| gptkbp:bfsParent |
gptkb:GL_3(2)
|
| gptkbp:bfsLayer |
8
|