Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
424 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19152108 | C2 | semidirect |
| 2. #19151941 | C2 | semidirect |
| 3. #19151920 | C2 | semidirect |
| 4. #19151839 | C2 | semidirect |
| 5. #19151825 | C2 | semidirect |
| 6. #19151761 | C2 | semidirect |
| 7. #19151740 | C2 | semidirect |
| 8. C2×#15667924 | C2 | semidirect |
| 9. #466×C89 | C2 | semidirect |
| 12. C2×Dic356 | C22 | semidirect |
| 13. C2×#13083562 | C22 | semidirect |
| 23. #15667946 | C22 | semidirect |
| 24. #15667943 | C22 | semidirect |
| 25. #15667937 | C22 | semidirect |
| 26. #15667935 | C22 | semidirect |
| 27. #15667933 | C22 | semidirect |
| 30. C2×D8×C89 | C22 | semidirect |
| 33. #107×C89 | C22 | semidirect |
| 34. #102×C89 | C22 | semidirect |
| 122. C89 | #3191 | semidirect |
| 127. #466 | D89 | semidirect |
| 136. C2×D8 | C2×D89 | semidirect |
| 149. #107 | C2×D89 | semidirect |
| 154. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152108 | 2 |
| #19151941 | 2 |
| #19151920 | 2 |
| #19151839 | 2 |
| #19151825 | 2 |
| #19151761 | 2 |
| #19151740 | 2 |
| C2×#15667924 | 2 |
| #466×C89 | 2 |
| #3191 | 89 |