Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 2. C2×#15667992 | C2 | semidirect |
| 3. #19151941 | C2 | semidirect |
| 4. #19151916 | C2 | semidirect |
| 5. #19151855 | C2 | semidirect |
| 6. #19151845 | C2 | semidirect |
| 7. #19151763 | C2 | semidirect |
| 8. #19151753 | C2 | semidirect |
| 9. #19151739 | C2 | semidirect |
| 10. #19151560 | C2 | semidirect |
| 11. #484×C89 | C2 | semidirect |
| 15. C2×#13083564 | C22 | semidirect |
| 16. C2×#13083563 | C22 | semidirect |
| 32. #15667943 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667935 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 40. #107×C89 | C22 | semidirect |
| 41. #103×C89 | C22 | semidirect |
| 150. C89 | #3196 | semidirect |
| 154. #484 | D89 | semidirect |
| 184. #107 | C2×D89 | semidirect |
| 188. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152111 | 2 |
| C2×#15667992 | 2 |
| #19151941 | 2 |
| #19151916 | 2 |
| #19151855 | 2 |
| #19151845 | 2 |
| #19151763 | 2 |
| #19151753 | 2 |
| #19151739 | 2 |
| #19151560 | 2 |
| #484×C89 | 2 |
| #3196 | 89 |