Classification of Imprimitive Irreducible Finite Sugroups of O(7)

TL;DR

This paper classifies imprimitive irreducible finite subgroups of the orthogonal group O(7) and details the number of conjugacy classes for each group, advancing understanding of their structure.

Contribution

It provides a complete classification of such subgroups and counts their conjugacy classes, a novel contribution to the study of finite subgroups of O(7).

Findings

Classification of all imprimitive irreducible finite subgroups of O(7).

Enumeration of conjugacy classes for each subgroup.

Enhanced understanding of subgroup structures within O(7).

Abstract

This work gives a classification of imprimitive irreducible finite subgroups of the orthogonal group O(7) plus the number of conjugate classes for each group.