I should proofread these things better. I got the processes for p130,
p135x, p137, and p136x wrong in my last message. Here is the
corrected list of squares-group antipodes and their symmetry groups.

SG Pos   Name                Process

P p66x  Double 4 corner sw  L2 D2 R2 T2 L2 T2 F2 R2 (F2 B2 T2 F2) T2 L2 B2
P p80   2 DOT, Invert T's   R2 B2 D2 R2 B2 L2 B2 L2 (T2 D2 F2 T2) F2 L2 T2
P p99   2 DOT, 4 ARM        R2 B2 D2 L2 B2 L2 F2 L2 (T2 D2 F2 T2) F2 L2 T2
P p100  2 Cross, 4 ARCH 1   R2 B2 T2 R2 F2 L2 F2 L2 (T2 D2 F2 T2) F2 L2 T2
Q p67x  Antipode 2          R2 D2 B2 T2 B2 T2 F2 L2 (F2 B2 T2 F2) L2 F2 D2
Q p130x 2 Cross, 4 ARCH 2   T2 B2 R2 B2 T2 R2 F2 T2 (L2 R2 F2 T2) F2 T2 L2
S p135x 2 X, 4 T            L2 D2 B2 T2 F2 T2 F2 L2 (F2 B2 T2 F2) L2 B2 T2
S p137x 2 X, 4 ARM          L2 T2 F2 D2 F2 T2 F2 L2 (F2 B2 T2 F2) L2 B2 T2

HP p108  2 DOT, 2 T, 2 ARM   L2 F2 T2 R2 B2 L2 F2 L2 (T2 D2 F2 T2) F2 L2 T2
HP p128x 2 H, 2 T, 2 CRN     L2 D2 R2 T2 L2 T2 F2 R2 (F2 B2 T2 F2) T2 L2 F2
HP p129x 2 H, 2 T, 2 ARCH    R2 T2 L2 T2 L2 T2 F2 R2 (F2 B2 T2 F2) T2 L2 F2
HP p131x 2 H, 2 ARM, 2 ARCH  L2 T2 R2 B2 D2 L2 B2 L2 (F2 B2 T2 F2) T2 L2 T2
HP p132  2 Cross,2 ARCH,2CRN L2 F2 D2 R2 F2 L2 B2 L2 (T2 D2 F2 T2) F2 L2 D2
HP p136x 2 H, 2 ARM, 2 CRN   R2 T2 L2 F2 D2 L2 F2 L2 (F2 B2 T2 F2) T2 L2 D2
HS p133x 2 Cross, 2 T, 2 ARM L2 T2 B2 T2 B2 T2 F2 L2 (F2 B2 T2 F2) L2 F2 D2
HS p134x 2 CRN, 2 X, 2 ARCH  L2 T2 B2 D2 F2 T2 F2 L2 (F2 B2 T2 F2) L2 F2 D2

Sorry if anyone was led astray.

Dan