Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 121 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×#15667970 | C2 | semidirect |
| 3. #19151937 | C2 | semidirect |
| 4. #19151931 | C2 | semidirect |
| 5. #19151924 | C2 | semidirect |
| 6. #19151917 | C2 | semidirect |
| 7. #19151911 | C2 | semidirect |
| 8. #19151633 | C2 | semidirect |
| 9. #19151593 | C2 | semidirect |
| 10. C22⋊C8×D89 | C2 | semidirect |
| 11. #483×C89 | C2 | semidirect |
| 30. #15667945 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667944 | C22 | semidirect |
| 33. #15667936 | C22 | semidirect |
| 34. #15667934 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 40. #106×C89 | C22 | semidirect |
| 41. #103×C89 | C22 | semidirect |
| 144. C89 | #3091 | semidirect |
| 149. #483 | D89 | semidirect |
| 179. #106 | C2×D89 | semidirect |
| 181. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152111 | 2 |
| C2×#15667970 | 2 |
| #19151937 | 2 |
| #19151931 | 2 |
| #19151924 | 2 |
| #19151917 | 2 |
| #19151911 | 2 |
| #19151633 | 2 |
| #19151593 | 2 |
| C22⋊C8×D89 | 2 |
| #483×C89 | 2 |
| #3091 | 89 |