Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #19152396 | C2 | semidirect |
| 2. C2×#15668040 | C2 | semidirect |
| 3. C2×#15668037 | C2 | semidirect |
| 4. #19151868 | C2 | semidirect |
| 5. #19151861 | C2 | semidirect |
| 6. #19151647 | C2 | semidirect |
| 7. #19151580 | C2 | semidirect |
| 8. C2×#15667928 | C2 | semidirect |
| 9. #568×C89 | C2 | semidirect |
| 13. #15668042 | C22 | semidirect |
| 19. #15668037 | C22 | semidirect |
| 21. C2×#13083563 | C22 | semidirect |
| 23. C2×D712 | C22 | semidirect |
| 27. #15667948 | C22 | semidirect |
| 28. #15667930 | C22 | semidirect |
| 29. #15667928 | C22 | semidirect |
| 30. #15667928 | C22 | semidirect |
| 33. #131×C89 | C22 | semidirect |
| 148. C89 | #3068 | semidirect |
| 152. #568 | D89 | semidirect |
| 175. #131 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| C2×#15668040 | 2 |
| C2×#15668037 | 2 |
| #19151868 | 2 |
| #19151861 | 2 |
| #19151647 | 2 |
| #19151580 | 2 |
| C2×#15667928 | 2 |
| #568×C89 | 2 |
| #3068 | 89 |