non-fixed types X side 1153, Y side 1154, common 7
 common type size 1: (a,b): ab cycle type (1,), ab^-1 cycle type (1,); in L-sets (X side) of degrees [(8, 1)]; twisted in L-sets of degrees [(8, 1)]
 common type size 3: (a,b): ab cycle type (1, 1, 1), ab^-1 cycle type (3,); in L-sets (X side) of degrees [(24, 1)]; twisted in L-sets of degrees [(24, 1)]
 common type size 3: (a,b): ab cycle type (3,), ab^-1 cycle type (1, 1, 1); in L-sets (X side) of degrees [(24, 1)]; twisted in L-sets of degrees [(24, 1)]
 common type size 3: (a,b): ab cycle type (3,), ab^-1 cycle type (3,); in L-sets (X side) of degrees [(24, 1)]; twisted in L-sets of degrees [(24, 1)]
 common type size 3: (a,b): ab cycle type (3,), ab^-1 cycle type (3,); in L-sets (X side) of degrees [(24, 1)]; twisted in L-sets of degrees [(24, 1)]
 common type size 4: (a,b): ab cycle type (2, 2), ab^-1 cycle type (1, 3); in L-sets (X side) of degrees [(32, 1)]; twisted in L-sets of degrees [(32, 1)]
 common type size 4: (a,b): ab cycle type (1, 3), ab^-1 cycle type (2, 2); in L-sets (X side) of degrees [(32, 1)]; twisted in L-sets of degrees [(32, 1)]
H-orbit sizes of the non-trivial transitive L-sets (degree: list of orbit sizes), first 40:
   8 (1, 7)
   6 (6,)
   7 (7,)
   7 (7,)
   15 (15,)
   15 (15,)
   15 (15,)
   21 (21,)
   22 (22,)
   28 (28,)
   28 (28,)
   36 (36,)
   36 (36,)
   36 (36,)
   36 (36,)
   22 (22,)
   28 (28,)
   28 (28,)
   36 (36,)
   36 (36,)
   36 (36,)
   36 (36,)
   33 (33,)
   33 (33,)
   33 (33,)
   33 (33,)
   25 (25,)
   25 (25,)
   33 (33,)
   33 (33,)
   33 (33,)
   33 (33,)
   35 (35,)
   35 (35,)
   35 (35,)
   35 (35,)
   35 (35,)
   35 (35,)
   35 (35,)
   35 (35,)
number of H-orbits per L-set: [(1, 1145), (2, 10)]
L-sets with an H-fixed point: 1 of 1155
sizes of H-orbit types on X side: [(1, 1), (3, 4), (4, 2), (6, 2), (7, 3), (8, 1), (10, 2), (13, 4), (14, 4), (15, 8), (18, 16), (20, 7), (21, 35), (22, 8), (24, 20), (25, 16), (26, 30), (27, 16), (28, 103), (29, 16), (30, 20), (31, 64), (32, 62), (33, 64), (34, 128), (35, 96), (36, 422)]
