Properties

Modulus $38640$
Structure \(C_{2}\times C_{4}\times C_{2}\times C_{4}\times C_{6}\times C_{22}\)
Order $8448$

Learn more

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(38640)
 
pari: g = idealstar(,38640,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 8448
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{4}\times C_{2}\times C_{4}\times C_{6}\times C_{22}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{38640}(4831,\cdot)$, $\chi_{38640}(28981,\cdot)$, $\chi_{38640}(12881,\cdot)$, $\chi_{38640}(15457,\cdot)$, $\chi_{38640}(22081,\cdot)$, $\chi_{38640}(6721,\cdot)$