Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
308 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 51 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. #19151737 | C2 | semidirect |
| 3. #19151509 | C2 | semidirect |
| 4. #19151333 | C2 | semidirect |
| 5. #19151332 | C2 | semidirect |
| 6. #19151321 | C2 | semidirect |
| 7. #448×C89 | C2 | semidirect |
| 19. C22⋊#10623494 | C22 | semidirect |
| 21. #15667919 | C22 | semidirect |
| 22. C22×Q8×C89 | C22 | semidirect |
| 26. C22⋊C8×C89 | C22 | semidirect |
| 70. C22×D89 | SD16 | semidirect |
| 133. C89 | #1601 | semidirect |
| 136. #448 | D89 | semidirect |
| 141. C22×Q8 | C2×D89 | semidirect |
| 157. C22⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152156 | 2 |
| #19151737 | 2 |
| #19151509 | 2 |
| #19151333 | 2 |
| #19151332 | 2 |
| #19151321 | 2 |
| #448×C89 | 2 |
| #1601 | 89 |