ATLAS: Conway group Co2

Order = 42305421312000.
Mult = 1.
Out = 1.

Standard generators

Standard generators of the Conway group Co2 are a and b where a is in class 2A, b is in class 5A, and ab has order 28.

Black box algorithms

To find standard generators for Co2:


The representations available are

Maximal subgroups

The maximal subgroups of Co2 are as follows. Words provided by Peter Walsh, implemented and checked by Ibrahim Suleiman.

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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