Known Sociable Groups of order 4 upto 10^11

 1.    gcd = 2*2      Cohen (1970)
       1264460  = 2*2*5*17*3719
       1547860  = 2*2*5*193*401
       1727636  = 2*2*521*829
       1305184  = 2*2*2*2*2*40787
 2.    gcd = 2*2      Cohen (1970)
       2115324  = 2*2*3*3*67*877
       3317740  = 2*2*5*165887
       3649556  = 2*2*107*8527
       2797612  = 2*2*331*2113
 3.    gcd = 2*2      Cohen (1970)
       2784580  = 2*2*5*29*4801
       3265940  = 2*2*5*61*2677
       3707572  = 2*2*11*84263
       3370604  = 2*2*23*36637
 4.    gcd = 2*2*2    Cohen (1970)
       4938136  = 2*2*2*7*109*809
       5753864  = 2*2*2*23*31271
       5504056  = 2*2*2*17*40471
       5423384  = 2*2*2*53*12791
 5.    gcd = 2*2      Cohen (1970)
       7169104  = 2*2*2*2*17*26357
       7538660  = 2*2*5*376933
       8292568  = 2*2*2*59*17569
       7520432  = 2*2*2*2*127*3701
 6.    gcd = 2*2*2*2  Cohen (1970)
      18048976  = 2*2*2*2*11*102551
      20100368  = 2*2*2*2*919*1367
      18914992  = 2*2*2*2*37*89*359
      19252208  = 2*2*2*2*1203263
 7.    gcd = 2*2      Cohen (1970)
      18656380  = 2*2*5*932819
      20522060  = 2*2*5*13*17*4643
      28630036  = 2*2*19*449*839
      24289964  = 2*2*97*62603
 8.    gcd = 3*3*3*5  Borho (1969)
      28158165  = 3*3*3*5*7*83*359
      29902635  = 3*3*3*5*7*31643
      30853845  = 3*3*3*5*11*79*263
      29971755  = 3*3*3*5*11*20183
 9.    gcd = 2*2      Cohen (1970)
      46722700  = 2*2*5*5*47*9941
      56833172  = 2*2*11*53*24371
      53718220  = 2*2*5*2685911
      59090084  = 2*2*43*343547
10.    gcd = 2*2*2    Devitt (1976)
      81128632  = 2*2*2*13*19*41057
      91314968  = 2*2*2*23*29*109*157
      96389032  = 2*2*2*41*71*4139
      91401368  = 2*2*2*149*76679
11.    gcd = 2*2      Devitt (1976)
     174277820  = 2*2*5*29*487*617
     205718020  = 2*2*5*17*43*14071
     262372988  = 2*2*47*107*13043
     210967684  = 2*2*23*2293127
12.    gcd = 2*5      Devitt (1976)
     209524210  = 2*5*7*19*263*599
     246667790  = 2*5*17*59*24593
     231439570  = 2*5*19*23*211*251
     230143790  = 2*5*17*499*2713
13.    gcd = 2*2      Devitt (1976)
     330003580  = 2*2*5*16500179
     363003980  = 2*2*5*18150199
     399304420  = 2*2*5*1163*17167
     440004764  = 2*2*110001191
14.    gcd = 2*2*2    Devitt (1976)
     498215416  = 2*2*2*19*47*69739
     506040584  = 2*2*2*7*233*38783
     583014136  = 2*2*2*72876767
     510137384  = 2*2*2*19*797*4211
15.    gcd = 2*2*2    A.F. (1989)
    1236402232  = 2*2*2*13*41*53*5471
    1369801928  = 2*2*2*11*17*863*1061
    1603118392  = 2*2*2*313*640223
    1412336648  = 2*2*2*4967*35543
16.    gcd = 2        A.F. (1989)
    1799281330  = 2*5*7*11*139*16811
    2267877710  = 2*5*7*32398253
    2397470866  = 2*7*17*10073407
    1954241390  = 2*5*19*73*140897
17.    gcd = 2*5*5*31 A.F. (1989)
    2387776550  = 2*5*5*19*31*89*911
    2497625050  = 2*5*5*19*31*84809
    2550266150  = 2*5*5*31*59*79*353
    2506553050  = 2*5*5*31*59*27409
18.    gcd = 3*3*7*13 A.F. (1989)
    2717495235  = 3*3*5*7*13*19*53*659
    3509525565  = 3*3*5*7*13*857027
    3977471043  = 3*3*7*13*1451*3347
    3100575933  = 3*3*7*13*19*19*10487
19.    gcd = 2*2*2    A.F. (1989)
    2879697304  = 2*2*2*11*19*1722307
    3320611496  = 2*2*2*17*71*343891
    3364648984  = 2*2*2*31*13567133
    3147575336  = 2*2*2*47*8371211
20.    gcd = 3*3*5    A.F. (1989)
    3705771825  = 3*3*5*5*7*1019*2309
    3890616975  = 3*3*3*5*5*7*503*1637
    4298858865  = 3*3*3*5*7*79*89*647
    4659093135  = 3*3*3*5*101*341701
21.    gcd = 2*2      A.F. (1989)
    4424606020  = 2*2*5*41*103*52387
    5186286908  = 2*2*11*1861*63337
    4720282996  = 2*2*11*13*1301*6343
    4993345292  = 2*2*13*1291*74381
22.    gcd = 2*2*2    A.F. (1989)
    4823923384  = 2*2*2*7*7*1087*11321
    5708253896  = 2*2*2*23*211*147029
    5513075704  = 2*2*2*67*97*107*991
    5196238856  = 2*2*2*37*743*23627
23.    gcd = 2*5      Moews (1990)
    5373457070  = 2*5*17*19*1663609
    5406735730  = 2*5*11*31*599*2647
    5575049870  = 2*5*13*17*17*179*829
    5983131730  = 2*5*19*569*55343
24.    gcd = 2*2*2    Moews (1990)
    8653956136  = 2*2*2*7*154534931
    9890235704  = 2*2*2*23*2459*21859
    9468980296  = 2*2*2*19*1051*59273
    9237894104  = 2*2*2*31*1583*23531
25.    gcd = 2*2*2    Moews (1992)
   15837081520  = 2*2*2*2*5*13*263*57901
   23967995792  = 2*2*2*2*13*115230749
   26042149708  = 2*2*37*137*1284383
   21105018164  = 2*2*4457*1183813
26.    gcd = 2*2      Moews (1992)
   17616303220  = 2*2*5*79*227*49117
   20012014220  = 2*2*5*11*2357*38593
   25854330388  = 2*2*17*1123*338567
   22095024044  = 2*2*37*149290703
27.    gcd = 2*2*2    Moews (1992)
   21669628904  = 2*2*2*7*11*35177969
   28986647896  = 2*2*2*15349*236063
   25367088104  = 2*2*2*29*179*610843
   24111275896  = 2*2*2*79*38150753
28.    gcd = 2*2*2    Moews (1993)
   44379752648  = 2*2*2*7*11*983*73291
   59472079672  = 2*2*2*29*101*311*8161
   57414289928  = 2*2*2*727*857*11519
   50520737272  = 2*2*2*1061*1597*3727
29.    gcd = 2*2*2    Moews (1993)
   73636082872   2*2*2*11*31*73*137*2699
   85180941128   2*2*2*29*823*446123
   80241838072   2*2*2*11*701*1300769
   84123459128   2*2*2*5639*1864769
30.    gcd = 3*3*3*3*5*11 Moews (1990)
   88585861815  = 3*3*3*3*5*11*53*59*6359
   90937094985  = 3*3*3*3*5*11*53*385139
   90251247735  = 3*3*3*3*5*11*59*107*3209
   90965321865  = 3*3*3*3*5*11*107*190829
31.    gcd = 2*2*2    Moews (1993)
   90568599176  = 2*2*2*11*29*35489263
  101073426424  = 2*2*2*17*743186959
   99587052776  = 2*2*2*17*113*223*29059
  100773510424  = 2*2*2*79*159451757
32.    gcd = 3*3*3*5  Moews (1993)
   91411869465   3*3*3*5*7*179*251*2153
   96182575335   3*3*3*5*7*11*9252773
  117001337625   3*3*3*5*5*5*17*127*16057
  113863886055   3*3*3*5*71*11879383
33.    gcd = 2*7*11   Moews ()
  111375706442  = 2*7*11*13*59*727*1297
  117225146038  = 2*7*11*13*59*992441
  122866422602  = 2*7*11*23*1609*21559
  117060156598  = 2*7*11*23*33049169

Achim Flammenkamp
1995-11-23 16:50