Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
444 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152415 | C2 | semidirect |
| 2. #19152414 | C2 | semidirect |
| 3. #19152411 | C2 | semidirect |
| 4. #19151976 | C2 | semidirect |
| 5. #19151874 | C2 | semidirect |
| 6. #19151872 | C2 | semidirect |
| 7. #19151783 | C2 | semidirect |
| 8. #19151779 | C2 | semidirect |
| 9. #19151714 | C2 | semidirect |
| 10. #19151713 | C2 | semidirect |
| 11. #473×C89 | C2 | semidirect |
| 147. C89 | #3293 | semidirect |
| 154. #473 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152415 | 2 |
| #19152414 | 2 |
| #19152411 | 2 |
| #19151976 | 2 |
| #19151874 | 2 |
| #19151872 | 2 |
| #19151783 | 2 |
| #19151779 | 2 |
| #19151714 | 2 |
| #19151713 | 2 |
| #473×C89 | 2 |
| #3293 | 89 |