Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
454 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152412 | C2 | semidirect |
| 2. #19152409 | C2 | semidirect |
| 3. #19151981 | C2 | semidirect |
| 4. #19151873 | C2 | semidirect |
| 5. #19151865 | C2 | semidirect |
| 6. #19151859 | C2 | semidirect |
| 7. #19151776 | C2 | semidirect |
| 8. #19151769 | C2 | semidirect |
| 9. #19151715 | C2 | semidirect |
| 10. #19151713 | C2 | semidirect |
| 11. #576×C89 | C2 | semidirect |
| 12. #15668059 | C22 | semidirect |
| 15. #15668042 | C22 | semidirect |
| 18. #15668038 | C22 | semidirect |
| 22. C2×Dic356 | C22 | semidirect |
| 25. C2×#13083562 | C22 | semidirect |
| 26. #15668019 | C22 | semidirect |
| 27. #15668018 | C22 | semidirect |
| 28. #15667999 | C22 | semidirect |
| 29. #15667948 | C22 | semidirect |
| 30. #15667947 | C22 | semidirect |
| 32. #15667939 | C22 | semidirect |
| 33. #15667938 | C22 | semidirect |
| 34. #15667930 | C22 | semidirect |
| 35. #15667929 | C22 | semidirect |
| 36. C8×Dic89 | C22 | semidirect |
| 150. C89 | #3290 | semidirect |
| 153. #576 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152412 | 2 |
| #19152409 | 2 |
| #19151981 | 2 |
| #19151873 | 2 |
| #19151865 | 2 |
| #19151859 | 2 |
| #19151776 | 2 |
| #19151769 | 2 |
| #19151715 | 2 |
| #19151713 | 2 |
| #576×C89 | 2 |
| #3290 | 89 |