ATLAS: Unitary group U6(3)
Order = 22837472432087040 = 213.315.5.72.13.61.
Mult = 2.
Out = 22.
The following information is available for U6(3):
Standard generators of U6(3) are a and b where
a is in class 2A, b has order 15, ab has order 91
and abb has order 14.
To find standard generators of U6(3):
- Find an element x in class 2A, say by powering up an element
of order 122.
- Find an element t of order 15, say by powering up an element
of order 30, 60 or 120.
- Look for a conjugate y of t such that xy has order 91
and xyy has order 14.
- The elements x and y are standard generators.
The representations of U6(3) available are:
-
Some primitive permutation representations.
-
Permutations on 22204 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
-
Permutations on 44226 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
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Version 2.0 file created on 4th August 2004.
Last updated 4.8.04 by SJN.