ATLAS: Orthogonal group O8+(3)
Order = 4952179814400.
Mult = 2 x 2.
Out = S4.
Standard generators
Standard generators of O8+(3) are not defined. The present generators are
a
and b where
a has order ,
b has order ,
ab has order ,
and abb has order.
Representations
The representation of 2.O8+(3):2_1 available is
- c and
d as
8 x 8 matrices over GF(3) - the natural representation.
The representation of 2.O8+(3):2_2 available is
- e and
f as
8 x 8 matrices over GF(3) - the natural representation.
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Last updated 27.03.96
R.A.Wilson@bham.ac.uk
richard@ukonline.co.uk