ATLAS: Janko group J4

Order = 86775571046077562880 =
Mult = 1.
Out = 1.

Standard generators

Standard generators of the Janko group J4 are a and b where a is in class 2A, b is in class 4A, ab has order 37 and ababb has order 10.

Black box algorithms

To find standard generators for J4:


The representations of J4 available are:

Maximal subgroups

The maximal subgroups of J4 are

Conjugacy class representatives

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 dealt with.

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Last updated 27th June 2000.
R.A.Wilson, R.A.Parker and J.N.Bray