ATLAS: Unitary group U3(16)
Order = 4279234560 = 184.108.40.206.241.
Mult = 1.
Out = 8.
The following information is available for U3(16):
Standard generators of U3(16) are a and b where
a has order 2, b has order 3, ab has order 17
and ababb has order 5.
Standard generators of U3(13):2 are not defined.
Standard generators of U3(13):4 are not defined.
Standard generators of U3(13):8 are not defined.
To find standard generators of U3(13):
- Find an element of even order and power it up to give an
- Find an element of order divisible by 3 and power it up to give
an element t of order 3.
- Find a conjugate y of t such that xy has order 17
and xyxyy has order 5.
- The elements x and y are standard generators.
The representations of U3(16) available are:
Permutations on 4097 points:
b (Meataxe binary),
Go to main ATLAS (version 2.0) page.
Go to classical groups page.
Anonymous ftp access is also available.
See here for details.
Version 2.0 file created on 3rd August 2004.
Last updated 3.8.04 by SJN.