Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
704 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 704 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 |
|---|---|---|
| 2. C2×#15668045 | C2 | semidirect |
| 3. C2×#15668042 | C2 | semidirect |
| 4. #19152174 | C2 | semidirect |
| 5. #19151782 | C2 | semidirect |
| 6. #19151777 | C2 | semidirect |
| 7. #19151616 | C2 | semidirect |
| 8. #19151580 | C2 | semidirect |
| 9. #421×C89 | C2 | semidirect |
| 22. C22×Dic178 | C22 | semidirect |
| 24. #15668045 | C22 | semidirect |
| 26. #15668042 | C22 | semidirect |
| 31. C2×#13083558 | C22 | semidirect |
| 32. #15668012 | C22 | semidirect |
| 33. #15668000 | C22 | semidirect |
| 36. #15667940 | C22 | semidirect |
| 37. #15667930 | C22 | semidirect |
| 38. #15667928 | C22 | semidirect |
| 40. C2×M16×C89 | C22 | semidirect |
| 41. #117×C89 | C22 | semidirect |
| 42. #104×C89 | C22 | semidirect |
| 193. C89 | #3022 | semidirect |
| 201. #421 | D89 | semidirect |
| 226. C2×M16 | C2×D89 | semidirect |
| 231. #117 | C2×D89 | semidirect |
| 233. #104 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152434 | 2 |
| C2×#15668045 | 2 |
| C2×#15668042 | 2 |
| #19152174 | 2 |
| #19151782 | 2 |
| #19151777 | 2 |
| #19151616 | 2 |
| #19151580 | 2 |
| #421×C89 | 2 |
| #3022 | 89 |