GL(3,2)

URI: https://gptkb.org/entity/GL(3,2)
GPTKB entity
Statements (31)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:actsOn gptkb:projective_plane_of_order_2
gptkbp:automorphismGroup gptkb:Fano_plane
gptkbp:centralTo trivial group
gptkbp:contains gptkb:S_4
gptkb:A_4
gptkb:Z_7
gptkb:D_7
gptkbp:field finite field of order 2
gptkbp:fullName gptkb:General_Linear_Group_of_3x3_invertible_matrices_over_the_field_with_2_elements
gptkbp:hasElementOrder 2
1
14
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24
3
4
42
56
7
8
84
gptkbp:hasSubgroup gptkb:S_8
https://www.w3.org/2000/01/rdf-schema#label GL(3,2)
gptkbp:isomorphicTo gptkb:PSL(2,7)
gptkbp:isSimple true
gptkbp:notation gptkb:GL_3(2)
gptkbp:order 168
gptkbp:bfsParent gptkb:PSL(2,7)
gptkb:Zassenhaus_group
gptkbp:bfsLayer 6