Weyl group of type D 7

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:Weyl_group
gptkbp:actsOn 7-dimensional Euclidean space
gptkbp:associatedWith root system of type D_7
gptkbp:Dynkin_diagram gptkb:D_7
gptkbp:generation reflections
gptkbp:hasNormalSubgroup Weyl group of type B_7
gptkbp:hasSimpleReflections 7
gptkbp:hasSubgroup Weyl group of type B_7
https://www.w3.org/2000/01/rdf-schema#label Weyl group of type D 7
gptkbp:isCoxeterGroup true
gptkbp:isomorphicTo (Z/2Z)^6 ⋊ S_7
gptkbp:order 645120
gptkbp:presentedBy Coxeter presentation with D_7 diagram
gptkbp:rank 7
gptkbp:relatedTo Lie algebra so(14)
special orthogonal group SO(14)
gptkbp:bfsParent gptkb:D_7_root_system
gptkbp:bfsLayer 8