ATLAS: Orthogonal group O8-(3)
Order = 10151968619520.
Mult = 2
Out = 2 x 2.
Standard generators
Standard generators of O8-(3) are not defined. The present generators are
a
and b where
a has order 6,
b has order 7,
ab has order 26,
and abb has order.
Standard generators of the double cover 2.O8-(3) are pre-images
A
and B where
A has order
and AB has order .
Standard generators of O8-(3):2 are
c
and d where
c has order ,
d is in class ,
and cd has order .
Standard generators of the double cover 2.O8-(3):2 are pre-images
C
and D where
C has order
and CD has order .
Representations
The representation of O8-(3):2 available is
- c and
d as
8 x 8 matrices over GF(3) - the natural representation.
Maximal subgroups
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Last updated 27.03.96
R.A.Wilson@bham.ac.uk
richard@ukonline.co.uk