ATLAS: Orthogonal group O8-(2)

Order = 197406720.
Mult = 1.
Out = 2.

Standard generators

Standard generators of O8-(2) are a and b where a is in class 2C, b is in class 3C and ab has order 17, ababb has order 17, and abababb has order 30. (These are not ideal, but they have been on this page for a year, so I don't want to change them unless absolutely necessary.)
Standard generators of O8-(2):2 are c and d where c is in class 2D, d has order 14, and cd has order 17, and cdcdd has order 12.
N.B. The old generators for O8-(2):2, here before 19.02.97, are no longer available.


The representations of O8-(2) available are The representations of O8-(2):2 available are

Maximal subgroups

The maximal subgroups of O8-(2) are as follows. The maximal subgroups of O8-(2):2 are as follows.
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