ATLAS: Linear group L2(27)

Order = 9828 = 22.33.7.13.
Mult = 2.
Out = 6.

Standard generators

Standard generators of L2(27) are a and b where a has order 2, b has order 3 and ab has order 7.
Standard generators of the double cover 2.L2(27) = SL2(27) are preimages A and B where B has order 3 and AB has order 7.

Representations

The representations of L2(27) available are The representation of 2.L2(27) available is
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- R.A.Wilson@bham.ac.uk
- richard@ukonline.co.uk