Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152153 | C2 | semidirect |
| 3. #19151941 | C2 | semidirect |
| 4. #19151880 | C2 | semidirect |
| 5. #19151809 | C2 | semidirect |
| 6. #19151803 | C2 | semidirect |
| 8. #19151692 | C2 | semidirect |
| 9. #19151689 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #474×C89 | C2 | semidirect |
| 137. C89 | #3107 | semidirect |
| 142. #474 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| C4×#13083573 | 2 |
| #19151941 | 2 |
| #19151880 | 2 |
| #19151809 | 2 |
| #19151803 | 2 |
| #19151761 | 2 |
| #19151692 | 2 |
| #19151689 | 2 |
| #19151650 | 2 |
| #474×C89 | 2 |
| #3107 | 89 |