ATLAS: Unitary group U5(2)

Order = 13685760.
Mult = 1.
Out = 2.

Standard generators

Standard generators of U5(2) are a and b where a is in class 2A, b has order 5, and ab has order 11.
An automorphism may be obtained by mapping (a,b) to (a,(abb)^-5b(abb)^5).

Standard generators of U5(2).2 are c and d where c has order 2 (so is in class 2C), d has order 4 (so is in class 4D), cd has order 11, and cdcdd has order 4.


Representations

The representations of U5(2) available are The representations of U5(2):2 available are

Maximal subgroups

The maximal subgroups of U5(2) are as follows. The maximal subgroups of U5(2):2 are as follows.
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- R.A.Wilson@bham.ac.uk
- richard@ukonline.co.uk