Properties

Modulus $22848$
Structure \(C_{2}\times C_{2}\times C_{6}\times C_{16}\times C_{16}\)
Order $6144$

Learn more

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(22848)
 
pari: g = idealstar(,22848,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 6144
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{2}\times C_{6}\times C_{16}\times C_{16}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{22848}(13567,\cdot)$, $\chi_{22848}(18565,\cdot)$, $\chi_{22848}(15233,\cdot)$, $\chi_{22848}(3265,\cdot)$, $\chi_{22848}(2689,\cdot)$