[GAP Forum] 3.M_{22}:2 on 990 points

[Bailey, Robert F.]

Dear forum,

The group 3.M_{22}:2 has a rank-9 imprimitive permutation representation of degree 990. (This is the full automorphism group of the distance-transitive Ivanov-Ivanov-Faradjev graph.)  I would like to construct this group in GAP.

The www ATLAS gives a matrix representation of this group in characteristic 2; however, applying "IsomorphismPermGroup" to this matrix group gives a group of degree 693.

Does anyone have a suggestion for how to obtain the degree 990 representation?

Thanks,
Robert Bailey.

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Dr. Robert Bailey
School of Science and Environment (Mathematics)
Grenfell Campus
Memorial University of Newfoundland
Corner Brook, NL A2H 6P9, Canada

Office: AS 3022
Phone: +1 (709) 637-6293
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