Archives

Has the Rubik cube subgroup generated by the turns of two orthogonal faces been exhaustively expanded? My computer runs out of physical memory and bogs down after 18 q turns:

Shell         Classes        Elements

0             1              1
1             1              4
2             3              10
3             6              24
4             15             58
5             35             140
6             85             338
7             204            816
8             493            1970
9             1189           4756
10            2863           11448
11            6862           27448
12            16324          65260
13            38550          154192
14            90192          360692
15            206898         827540
16            462893         1851345
17            992268         3968840
18            1973209        7891990

Totals        3792091        15166872