Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152269 | C2 | semidirect |
| 2. #19152268 | C2 | semidirect |
| 3. #19151974 | C2 | semidirect |
| 4. #19151973 | C2 | semidirect |
| 5. #19151794 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 9. C4×#13083559 | C2 | semidirect |
| 10. #19151678 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 109. Dic178 | D8 | semidirect |
| 112. #10623494 | #41 | semidirect |
| 142. C89 | #3391 | semidirect |
| 150. #459 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152269 | 2 |
| #19152268 | 2 |
| #19151974 | 2 |
| #19151973 | 2 |
| #19151794 | 2 |
| #19151792 | 2 |
| #19151791 | 2 |
| #19151722 | 2 |
| C4×#13083559 | 2 |
| #19151678 | 2 |
| #459×C89 | 2 |
| #3391 | 89 |