Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 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. #19152301 | C2 | semidirect |
| 2. #19151924 | C2 | semidirect |
| 3. #19151918 | C2 | semidirect |
| 4. #19151895 | C2 | semidirect |
| 5. #19151835 | C2 | semidirect |
| 6. #19151835 | C2 | semidirect |
| 7. C4×D712 | C2 | semidirect |
| 8. C8×D356 | C2 | semidirect |
| 9. #19151635 | C2 | semidirect |
| 10. #107×D89 | C2 | semidirect |
| 11. #499×C89 | C2 | semidirect |
| 121. C89 | #3339 | semidirect |
| 123. #499 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152301 | 2 |
| #19151924 | 2 |
| #19151918 | 2 |
| #19151895 | 2 |
| #19151835 | 2 |
| C4×D712 | 2 |
| C8×D356 | 2 |
| #19151635 | 2 |
| #107×D89 | 2 |
| #499×C89 | 2 |
| #3339 | 89 |