Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#15668037 | C2 | semidirect |
| 3. C22×#13083563 | C2 | semidirect |
| 4. #19152167 | C2 | semidirect |
| 5. #19151744 | C2 | semidirect |
| 6. #19151738 | C2 | semidirect |
| 7. #19151606 | C2 | semidirect |
| 8. #19151564 | C2 | semidirect |
| 9. #416×C89 | C2 | semidirect |
| 15. C2×#13083573 | C22 | semidirect |
| 18. C2×Q8×D89 | C22 | semidirect |
| 30. #15667935 | C22 | semidirect |
| 31. #15667924 | C22 | semidirect |
| 35. #103×C89 | C22 | semidirect |
| 36. #102×C89 | C22 | semidirect |
| 49. C2×Dic178 | D4 | semidirect |
| 72. #41×C89 | D4 | semidirect |
| 146. C89 | #3010 | semidirect |
| 154. #416 | D89 | semidirect |
| 180. #103 | C2×D89 | semidirect |
| 181. #102 | C2×D89 | semidirect |
| 191. #41 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668059 | 2 |
| C2×#15668037 | 2 |
| C22×#13083563 | 2 |
| #19152167 | 2 |
| #19151744 | 2 |
| #19151738 | 2 |
| #19151606 | 2 |
| #19151564 | 2 |
| #416×C89 | 2 |
| #3010 | 89 |