PGL(2,7)

URI: https://gptkb.org/entity/PGL(2,7)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people
gptkbp:actsOn	gptkb:projective_line_over_GF(7)
gptkbp:centralTo	trivial group
gptkbp:defines	gptkb:Group_of_2x2_invertible_matrices_over_GF(7)_modulo_scalar_matrices
gptkbp:field	gptkb:GF(7)
gptkbp:fullName	gptkb:Projective_General_Linear_Group_of_2x2_matrices_over_field_with_7_elements
gptkbp:hasOuterAutomorphism	true
gptkbp:hasSubgroup	gptkb:PSL(2,7) gptkb:GL(3,2) gptkb:Sym(8)
https://www.w3.org/2000/01/rdf-schema#label	PGL(2,7)
gptkbp:isFinite	true
gptkbp:isNonAbelian	true
gptkbp:isomorphicTo	gptkb:PSL(2,7)_⋊_C_2
gptkbp:isQuotientOf	gptkb:PSL(2,7)
gptkbp:isSimple	false
gptkbp:matrixSize	2x2
gptkbp:order	336
gptkbp:bfsParent	gptkb:PSL(2,7) gptkb:Zassenhaus_group
gptkbp:bfsLayer	6