Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 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. C2×#15668059 | C2 | semidirect |
| 2. #19152398 | C2 | semidirect |
| 3. #19152396 | C2 | semidirect |
| 4. #19152174 | C2 | semidirect |
| 5. #19151782 | C2 | semidirect |
| 6. #19151772 | C2 | semidirect |
| 7. #19151616 | C2 | semidirect |
| 8. C2×#15667930 | C2 | semidirect |
| 9. #421×C89 | C2 | semidirect |
| 23. #15668045 | C22 | semidirect |
| 25. #15668042 | C22 | semidirect |
| 27. #15668040 | C22 | semidirect |
| 29. #15668037 | C22 | semidirect |
| 33. #15668012 | C22 | semidirect |
| 34. #15668000 | C22 | semidirect |
| 37. #15667940 | C22 | semidirect |
| 38. #15667930 | C22 | semidirect |
| 42. #104×C89 | C22 | semidirect |
| 186. C89 | #3020 | semidirect |
| 194. #421 | D89 | semidirect |
| 227. #104 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668059 | 2 |
| #19152398 | 2 |
| #19152396 | 2 |
| #19152174 | 2 |
| #19151782 | 2 |
| #19151772 | 2 |
| #19151616 | 2 |
| C2×#15667930 | 2 |
| #421×C89 | 2 |
| #3020 | 89 |