Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:projective_special_linear_group |
| gptkbp:alternatingGroupSubgroup |
gptkb:A8
A7 |
| gptkbp:automorphismGroup |
C2
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:generation |
2
|
| gptkbp:hasSubgroup |
gptkb:M24
gptkb:M21 gptkb:A8 |
| gptkbp:isomorphicTo |
gptkb:PSL(3,_2)
GL(3, 2) PSigmaL(2, 7) |
| gptkbp:isSimple |
true
|
| gptkbp:isTransitiveOn |
projective line over F7
|
| gptkbp:minimalDegreeOfFaithfulLinearRepresentation |
3
|
| gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
7
|
| gptkbp:order |
168
|
| gptkbp:presentedBy |
<a, b | a^2 = b^3 = (ab)^7 = 1>
|
| gptkbp:SchurMultiplier |
6
|
| gptkbp:bfsParent |
gptkb:PSL(n,_F)
|
| gptkbp:bfsLayer |
9
|
| https://www.w3.org/2000/01/rdf-schema#label |
PSL(2, 7)
|