Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supercharacter Theories and Semidirect Products   We describe the supercharacter theories of the semidirect product of H and K,
$H\rtimes K$ in terms of the supercharacter theories of the direct product of H
and K in the case when both H and K are Abelian groups. To do this we introduce
the concept of a homomorphism of supercharacter theories. This provides a
classification of the supercharacter theories of the dihedral groups of order
2m when m is odd using the known classification of the supercharacter theories
of cyclic groups.

13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org