There are at most 96 positions which are in the same isomorphic class.
Boris Golden, TIPE on Rubik's Cube (a TIPE is a French short research work done by students for competitive examinations).
Table of n, a(n) for n=0..7.
a(1) = 1 because the 12 quarter turns are isomorphic.
Sequence in context: A113936 A012263 A076448 * A236530 A249520 A248661
Adjacent sequences: A096307 A096308 A096309 * A096311 A096312 A096313
Boris Golden, Jun 27 2004