ATLAS: Linear group L_{3}(9)
Order = 42456960 = 2^{7}.3^{6}.5.7.13.
Mult = 1.
Out = 2^{2}.
Standard generators
Standard generators of L_{3}(9) are a and b where a has order 2, b is in class 3B and ab has order 24.
Standard generators of L_{3}(9):2_{1} are not defined.
Standard generators of L_{3}(9):2_{2} are not defined.
Standard generators of L_{3}(9):2_{3} are not defined.
Standard generators of L_{3}(9):2^{2} are not defined.
Representations
The representations of L_{3}(9) available are
- a and
b as
permutations on 91 points.
- a and
b as
3 × 3 matrices over GF(9) - the natural representation.
The representations of L_{3}(9):2_{1} available are
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Last updated 29.11.97
R.A.Wilson@bham.ac.uk
richard@ukonline.co.uk