Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
406 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152321 | C2 | semidirect |
| 2. #19152270 | C2 | semidirect |
| 3. #19151987 | C2 | semidirect |
| 4. #19151971 | C2 | semidirect |
| 5. #19151814 | C2 | semidirect |
| 6. #19151804 | C2 | semidirect |
| 7. #19151799 | C2 | semidirect |
| 8. #19151794 | C2 | semidirect |
| 9. #19151700 | C2 | semidirect |
| 10. C4×D712 | C2 | semidirect |
| 11. #446×C89 | C2 | semidirect |
| 106. C8×C89 | #41 | semidirect |
| 133. C89 | #3397 | semidirect |
| 142. #446 | D89 | semidirect |
| 239. C8 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152321 | 2 |
| #19152270 | 2 |
| #19151987 | 2 |
| #19151971 | 2 |
| #19151814 | 2 |
| #19151804 | 2 |
| #19151799 | 2 |
| #19151794 | 2 |
| #19151700 | 2 |
| C4×D712 | 2 |
| #446×C89 | 2 |
| #3397 | 89 |