Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 4 1 2023 02 01 Normal supercharacter theory of the dihedral groups 79 85 4945 10.22060/ajmc.2022.21268.1082 EN Hadiseh Saydi Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran Journal Article 2022 04 05 Diaconis ‎and ‎Isaacs ‎defined ‎the ‎‎supercharacter ‎theory ‎for ‎finite ‎groups ‎as a‎ ‎natural ‎generalization ‎of ‎the ‎classical ‎ordinary ‎character ‎theory ‎of ‎finite ‎groups. ‎‎Supercharacter ‎theory ‎of ‎many ‎finite ‎groups ‎such ‎as ‎the ‎cyclic ‎groups, ‎the ‎Frobenius ‎groups, ‎etc. ‎were ‎well ‎studied ‎and ‎well-known. ‎In ‎this ‎paper ‎we ‎find ‎the ‎normal ‎and ‎automorphic ‎‎supercharacter ‎theories ‎of ‎the ‎dihedral ‎groups ‎in ‎special ‎cases.‎ Dihedral group ‎ supercharacter superclass Lattice of normal subgroups https://ajmc.aut.ac.ir/article_4945_db095bd14b838cbf3abf886f492c721b.pdf