ATLAS: Unitary group U6(2), Fischer group Fi21


The information on this page was prepared with help from Ibrahim Suleiman.
Order = 9196830720 = 215.36.5.7.11.
Mult = 22 × 3.
Out = S3.

Standard generators

U6(2) and covers

U6(2):2 and covers

U6(2):3 and covers

U6(2):S3 and covers


Automorphisms

An automorphism of order 3 can be obtained by mapping (a,b) to ((abb)^-4a(abb)^4, (abababbab)^-1babababbab).
An automorphism of order 2 can be obtained by mapping (a,b) to (a, b^-1).

Representations

U6(2) and covers

U6(2):2 and covers

U6(2):3 and covers

U6(2):S3 and covers


Maximal subgroups

The maximal subgroups of U6(2) include:
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- R.A.Wilson@bham.ac.uk
- richard@ukonline.co.uk