Generators and Representations for G = F
4
(2)
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Standard generators
Standard generators of F
4
(2) are
a
and
b
where
a
is in class 2C,
b
is in class 3C,
ab
has order 17 and
ababababbababbabb
has order 13. (Source: ATLAS)
Standard generators of the double cover 2.F
4
(2) are preimages
A
and
B
where
B
has order 3 and
AB
has order 17. (Source: ATLAS)
Black box algorithms
No black box algorithms.
Matrix representations
Representation genus
Representations available
Miscellaneous information
Group
Dim
Ind
File
Char
Ring
Source
Sparsity
Max
Size (Kb)
Check
Comments
2.F
4
(2)
52
+
No representations available
Last generated on Thu Sep 8 17:22:45 2005