ATLAS: Unitary group U8(2)
Order = 7434971050829414400 = 228.39.52.7.11.17.43
Mult = 1.
Out = 2.
The following information is available for U8(2):
Standard generators of U8(2) are a and b where
a is in class 2A, b has order 14, ab has order 85
and abb has order 18.
Standard generators of U8(2):2 are not defined.
To find standard generators of U8(2):
- Find an element x in class 2A, say by powering up an element
of order 14, 22, 42, 44, 66, 72, 126 or 132.
- Find an element t of order 14, say by powering up an element
of order 14, 42 or 126.
- Look for a conjugate y of t such that xy has order 85
and xyy has order 18.
- The elements x and y are standard generators.
The representations of U8(2) available are:
-
Some primitive permutation representations.
-
Permutations on 10880 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
-
Permutations on 10965 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.