ATLAS: Alternating group A9

Order = 181440 = 26.34.5.7
Mult = 2.
Out = 2.

Standard generators

Standard generators of A9 are a and b where a is in class 3A, b has order 7 and ab has order 9.
In the natural representation we may take a = (1, 2, 3) and b = (3, 4, 5, 6, 7, 8, 9).
Standard generators of the double cover 2.A9 are preimages A and B where A has order 3, and B has order 7.

Representations

The representations of A9 available are The representations of 2.A9 available are The representations of S9 = A9:2 available are
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- R.A.Wilson@bham.ac.uk
- richard@ukonline.co.uk