Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
406 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 406 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. #19152322 | C2 | semidirect |
| 2. #19152268 | C2 | semidirect |
| 3. #19151984 | C2 | semidirect |
| 4. #19151815 | C2 | semidirect |
| 5. #19151800 | C2 | semidirect |
| 6. #19151796 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 9. #19151699 | C2 | semidirect |
| 10. C4×D712 | C2 | semidirect |
| 11. #492×C89 | C2 | semidirect |
| 105. C8×C89 | #41 | semidirect |
| 133. C89 | #3397 | semidirect |
| 137. #492 | D89 | semidirect |
| 239. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152322 | 2 |
| #19152268 | 2 |
| #19151984 | 2 |
| #19151815 | 2 |
| #19151800 | 2 |
| #19151796 | 2 |
| #19151790 | 2 |
| #19151728 | 2 |
| #19151699 | 2 |
| C4×D712 | 2 |
| #492×C89 | 2 |
| #3397 | 89 |