I should have said "a fourth way", I think. Martin Schoernert
performed the same calculation with GAP. Hence, we have three
ways in hand: 1) Dan's Polya-Burnside method, 2) Martin's GAP
calculations, and 3) brute force computer search. My new
proposal would then be a fourth way.

Here is a question for Martin: is there any way with GAP to calculate
the number of M-conjugacy classes associated with each symmetry class?
It is this additional information about the "real cube space" which
*is* available via computer search, and for which I am proposing
an alternative which does not involve computer search.

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Robert G. Bryan (Jerry Bryan)                        (304) 293-5192
Associate Director, WVNET                            (304) 293-5540 fax
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