Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
projective special linear group |
| gptkbp:automorphismGroup |
336
cyclic group of order 2 |
| gptkbp:centralTo |
trivial group
|
| gptkbp:hasMaximalSubgroup |
gptkb:S_4
gptkb:D_14 Z_7 : Z_3 |
| gptkbp:hasSubgroup |
gptkb:S_4
gptkb:A_4 gptkb:D_14 gptkb:M_21 gptkb:PSL(3,2) gptkb:Z_3 gptkb:Z_7 gptkb:A_7 |
| https://www.w3.org/2000/01/rdf-schema#label |
L 2(7)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,7)
gptkb:GL(3,2) orientation-preserving symmetry group of the Fano plane projective linear group of 2x2 matrices over field with 7 elements |
| gptkbp:isPerfect |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:isTransitiveOn |
gptkb:projective_line_over_F_7
|
| gptkbp:minimalDegreeOfFaithfulLinearRepresentation |
3
|
| gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
7
|
| gptkbp:order |
168
|
| gptkbp:SchurMultiplier |
cyclic group of order 3
|
| gptkbp:bfsParent |
gptkb:PSL(2,7)
|
| gptkbp:bfsLayer |
6
|