Mins vs. M-Symmmetry

The first two columns in the following table are from the second table shown here, the rows have been sorted by Sym (descending). The "Cubes M-Symmetry" column (below) shows the count that can be found on the page linked in the first column by finding the value of N in a phrase like:

"Up to M-symmetry there are N cubes which exactly have the symmetries of this subgroup."

The "Total by Sym" column is the sum of M-Symmetry counts where Sym is the same. The total is only shown on the first line for each new Sym value, these totals match the "Mins" column in the second table (which is from the previous page with the row order reversed and Syms divided into 48 to make it easier to match the numbers between these two tables).

LinkSymCubes
M-Symmetry
Total
by Sym
Oh4844
O24010
Td240
Th2410
D4h16124124
T121224
D3d1212
D481925950
C4v8448
C4h8704
D2d (edge)81472
D2d (face)8192
D2h (edge)8960
D2h (face)81982
C3v6164094
D36208
S663870
C4436160738352
S44109376
D2 (edge)423232
D2 (face)423356
C2v (a1)415552
C2v (a2)4290880
C2v (b)448128
C2h (a)4143552
C2h (b)448116
C33942716942716
C2 (a)219106826246857501210
C2 (b)2636937008
Cs (a)22292846080
Cs (b)2106103792
Ci21910931706
C11901083404981813616
MinsSyms
448
1024
12416
2412
5950 8
4094 6
738352 4
942716 3
6857501210 2
901083398122621132 1
901083404981813616Total