Imprimitive Primitive
The table below displays Dirichlet characters of a given modulus $$q$$ and index $$n$$ of order up to 8. The characters are grouped with respect to order and stacked integers indicate (complex) conjugate characters.
ModulusOrder $1$Order $2$Order $3$Order $4$Order $5$Order $6$Order $8$
$1$
$2$
$3$
$4$
$5$
 $2$ $3$
$6$
$7$
 $2$ $4$
 $3$ $5$
$8$
 $3$ $5$ $7$
$9$
 $4$ $7$
 $2$ $5$
$10$
 $3$ $7$
$11$
 $3$ $4$ $5$ $9$
$12$
 $5$ $7$ $11$
$13$
 $3$ $9$
 $5$ $8$
 $4$ $10$
$14$
 $9$ $11$
 $3$ $5$
$15$
 $4$ $11$ $14$
 $2$ $8$ $7$ $13$
$16$
 $7$ $9$ $15$
 $3$ $11$ $5$ $13$
$17$
 $4$ $13$
 $2$ $9$ $8$ $15$
$18$
 $7$ $13$
 $5$ $11$
$19$
 $7$ $11$
 $8$ $12$
$20$
 $9$ $11$ $19$
 $3$ $7$ $13$ $17$