Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#15668037 | C2 | semidirect |
| 2. C2×#15668018 | C2 | semidirect |
| 3. #19152176 | C2 | semidirect |
| 4. #19152167 | C2 | semidirect |
| 5. #19151850 | C2 | semidirect |
| 6. #19151847 | C2 | semidirect |
| 7. #19151833 | C2 | semidirect |
| 8. #19151830 | C2 | semidirect |
| 9. #19151641 | C2 | semidirect |
| 10. C2×#15667934 | C2 | semidirect |
| 11. #416×C89 | C2 | semidirect |
| 19. C2×#13083557 | C22 | semidirect |
| 20. C2×C8×D89 | C22 | semidirect |
| 24. #15667988 | C22 | semidirect |
| 29. #15667983 | C22 | semidirect |
| 32. #15667945 | C22 | semidirect |
| 33. #15667943 | C22 | semidirect |
| 39. #103×C89 | C22 | semidirect |
| 40. #103×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 42. #102×C89 | C22 | semidirect |
| 60. #13083558 | D4 | semidirect |
| 152. C89 | #3062 | semidirect |
| 162. #416 | D89 | semidirect |
| 189. #103 | C2×D89 | semidirect |
| 190. #103 | C2×D89 | semidirect |
| 193. #102 | C2×D89 | semidirect |
| 194. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| C2×#15668018 | 2 |
| #19152176 | 2 |
| #19152167 | 2 |
| #19151850 | 2 |
| #19151847 | 2 |
| #19151833 | 2 |
| #19151830 | 2 |
| #19151641 | 2 |
| C2×#15667934 | 2 |
| #416×C89 | 2 |
| #3062 | 89 |