Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. #19152323 | C2 | semidirect |
| 3. #19151969 | C2 | semidirect |
| 4. #19151801 | C2 | semidirect |
| 5. #19151800 | C2 | semidirect |
| 6. #19151796 | C2 | semidirect |
| 7. #19151795 | C2 | semidirect |
| 8. C8×Dic178 | C2 | semidirect |
| 9. C4×#13083563 | C2 | semidirect |
| 10. SD16×Dic89 | C2 | semidirect |
| 11. #492×C89 | C2 | semidirect |
| 102. Dic178 | SD16 | semidirect |
| 104. C8×C89 | #41 | semidirect |
| 129. C89 | #3392 | semidirect |
| 133. #492 | D89 | semidirect |
| 234. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152323 | 2 |
| #19152268 | 2 |
| #19151969 | 2 |
| #19151801 | 2 |
| #19151800 | 2 |
| #19151796 | 2 |
| #19151795 | 2 |
| C8×Dic178 | 2 |
| C4×#13083563 | 2 |
| SD16×Dic89 | 2 |
| #492×C89 | 2 |
| #3392 | 89 |