For example, I'd like to take 

G=CoxeterGroup(['H',3]).as_matrix_group()

(or just G=CoxeterGroup(['H',3]) if this is better)
and compute the orbit of a vector in R^3 w.r.t. G.

This proves impossible. Perhaps not so strangely, there seems to be no 
method
provided to convert G into a permutation group. 
Nor it's possible to compute G.order(), one gets "NotImplemented" error.

Is it a bug in category framework? Something easy to fix?
Note that GAP has no problem working with such groups.

Neither GAP nor libGAP conversion seem to work: with GAP I get

TypeError: Gap terminated unexpectedly while reading in a large line: 

with libGAP I get

ValueError: libGAP: Error, Variable: 'Finite' must have a value

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