ATLAS: Linear group L2(13)
Order = 1092.
Mult = 2.
Out = 2.
Standard generators
Standard generators of L2(13) are a
and b where
a has order 2, b has order 3
and ab has order 13.
Standard generators of the double cover 2.L2(13) = SL2(13) are pre-images
A
and B where
B has order 3
and AB has order 13.
Representations
The representation available is
- a and
b as
permutations on 14 points.
The representations of 2.L2(13) available are
- A and
B as
2 x 2 matrices over GF(13).
Maximal subgroups
The maximal subgroups of L2(13) are as follows.
The maximal subgroups of L2(13):2 are as follows.
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Last updated 13.03.96
R.A.Wilson@bham.ac.uk
richard@ukonline.co.uk