> Well, that's not a matrix group in a canonical way, so there's a good 
reason for that (and, if you're interested in the abstract group it may 
well be that the permutation representation is the fastest to work with).

Agree, but it would be nice to say G = PGL(2,13) and then G(some matrix) to 
get its class or backwards to represent an element by a matrix, etc. But 
that is a different stroy than what this tread was about.

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