Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152204 | C2 | semidirect |
| 2. #19152161 | C2 | semidirect |
| 3. #19151987 | C2 | semidirect |
| 4. #19151974 | C2 | semidirect |
| 5. #19151955 | C2 | semidirect |
| 6. #19151812 | C2 | semidirect |
| 7. #19151792 | C2 | semidirect |
| 8. #19151744 | C2 | semidirect |
| 9. #19151733 | C2 | semidirect |
| 10. #19151660 | C2 | semidirect |
| 11. #490×C89 | C2 | semidirect |
| 14. C2×#13083563 | C22 | semidirect |
| 17. C2×#13083559 | C22 | semidirect |
| 18. #15668009 | C22 | semidirect |
| 27. #15667974 | C22 | semidirect |
| 29. #15667941 | C22 | semidirect |
| 30. #15667935 | C22 | semidirect |
| 33. C4×#10623494 | C22 | semidirect |
| 35. #125×C89 | C22 | semidirect |
| 37. #102×C89 | C22 | semidirect |
| 38. #97×C89 | C22 | semidirect |
| 129. C89 | #3220 | semidirect |
| 134. #490 | D89 | semidirect |
| 150. #125 | C2×D89 | semidirect |
| 164. #102 | C2×D89 | semidirect |
| 166. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152204 | 2 |
| #19152161 | 2 |
| #19151987 | 2 |
| #19151974 | 2 |
| #19151955 | 2 |
| #19151812 | 2 |
| #19151792 | 2 |
| #19151744 | 2 |
| #19151733 | 2 |
| #19151660 | 2 |
| #490×C89 | 2 |
| #3220 | 89 |