Statements (25)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | gptkb:group_of_people gptkb:dihedral_group | 
| gptkbp:actsOn | gptkb:equilateral_triangle | 
| gptkbp:centralTo | identity element | 
| gptkbp:containsElement | identity element reflection 1 reflection 2 reflection 3 rotation by 120 degrees rotation by 240 degrees | 
| gptkbp:generation | reflection 1 rotation by 120 degrees | 
| gptkbp:hasNormalSubgroup | cyclic group of order 3 whole group trivial subgroup | 
| gptkbp:hasSubgroup | 6 | 
| gptkbp:isNonAbelian | false | 
| gptkbp:isomorphicTo | gptkb:symmetric_group_S_3 | 
| gptkbp:numberOfConjugacyClasses | 3 | 
| gptkbp:order | 6 | 
| gptkbp:presentedBy | <r, s | r^3 = s^2 = 1, s r s = r^{-1}> | 
| gptkbp:smallestNonAbelianGroup | true | 
| gptkbp:bfsParent | gptkb:symmetric_group_S_3 | 
| gptkbp:bfsLayer | 7 | 
| https://www.w3.org/2000/01/rdf-schema#label | dihedral group D 3 |