On the characterization of the SU(3)-subgroups of type C and D

Abstract

We investigate the two classes of finite subgroups of SU(3) that are called type C and D in the book of Miller, Blichfeldt and Dickson. We present two theorems which fully determine the form of the generators in a suitable basis. After exploring further properties of these groups, we are able to construct a complete list of infinite series in which these groups are arranged. For type C there are infinitely many series whereas for type D there are only two. Explicit examples of these series are presented which illustrate the general results.

17 pages, no figures; minor corrections; version matches publication in J. Phys. A

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• The Flavor Group Delta(3n^2)
• The Flavor Group Delta(6n^2)
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Simple Finite Non-Abelian Flavor Groups
• Tribimaximal Mixing From Small Groups
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