ATLAS: Lyons group Ly

Order = 51765179004000000 =
Mult = 1.
Out = 1.

Standard generators

Standard generators of the Lyons group Ly are a and b where a has order 2, b is in class 5A, ab has order 14 and abababb has order 67.

Black box algorithms

To find standard generators for Ly:


The representations of Ly available are:

Maximal subgroups

The maximal subgroups of Ly are:

Conjugacy classes

A set of generators for the maximal cyclic subgroups can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements. Problems of algebraic conjugacy are not yet dealt with.
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