Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152322 | C2 | semidirect |
| 2. #19152318 | C2 | semidirect |
| 4. #19151977 | C2 | semidirect |
| 5. #19151823 | C2 | semidirect |
| 6. #19151818 | C2 | semidirect |
| 7. #19151804 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 9. #19151690 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 124. C89 | #3393 | semidirect |
| 132. #461 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152322 | 2 |
| #19152318 | 2 |
| #19151979 | 2 |
| #19151977 | 2 |
| #19151823 | 2 |
| #19151818 | 2 |
| #19151804 | 2 |
| #19151722 | 2 |
| #19151690 | 2 |
| C4×#13083559 | 2 |
| #461×C89 | 2 |
| #3393 | 89 |