Statements (21)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:actsOn |
gptkb:projective_plane_of_order_2
|
gptkbp:automorphismGroup |
trivial group
|
gptkbp:centralTo |
trivial group
|
gptkbp:contains |
subgroup of order 21
subgroup of order 7 subgroup of order 8 |
gptkbp:field |
finite field with 2 elements
|
gptkbp:fullName |
gptkb:General_Linear_Group_of_3x3_invertible_matrices_over_the_field_with_2_elements
|
https://www.w3.org/2000/01/rdf-schema#label |
GL 3(2)
|
gptkbp:isomorphicTo |
gptkb:PSL_2(7)
gptkb:projective_general_linear_group_PGL_3(2) gptkb:projective_special_linear_group_PSL_2(7) automorphism group of the Fano plane |
gptkbp:isSimple |
true
|
gptkbp:minimalDegreeFaithfulPermutationRepresentation |
7
|
gptkbp:notation |
gptkb:GL(3,2)
|
gptkbp:order |
168
|
gptkbp:bfsParent |
gptkb:GL(3,2)
gptkb:PSL_2(7) |
gptkbp:bfsLayer |
7
|