Composition factors of a permutation module

We load the simple Lie group G(2, 5), represented as a permutation group of degree 3096, from the standard Magma library of algebraic structures. Then we find the composition factors of a composition series of the permutation module of G:

> load "g25";
> P := PermutationModule(G, GF(2));
> time CompositionFactors(P);
[
    GModule of dimension 650 over GF(2),
    GModule of dimension 280 over GF(2),
    GModule of dimension 1240 over GF(2),
    GModule of dimension 650 over GF(2),
    GModule of dimension 1 over GF(2),
    GModule of dimension 1084 over GF(2),
    GModule of dimension 1 over GF(2)
]
Time: 345.759

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