Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 398 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. #19152305 | C2 | semidirect |
| 3. #19151945 | C2 | semidirect |
| 4. #19151912 | C2 | semidirect |
| 5. #19151894 | C2 | semidirect |
| 6. #19151844 | C2 | semidirect |
| 7. #19151799 | C2 | semidirect |
| 8. #19151762 | C2 | semidirect |
| 9. C4×Dic356 | C2 | semidirect |
| 10. #19151600 | C2 | semidirect |
| 11. #436×C89 | C2 | semidirect |
| 129. C89 | #3333 | semidirect |
| 139. #436 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| #19152269 | 2 |
| #19151945 | 2 |
| #19151912 | 2 |
| #19151894 | 2 |
| #19151844 | 2 |
| #19151799 | 2 |
| #19151762 | 2 |
| C4×Dic356 | 2 |
| #19151600 | 2 |
| #436×C89 | 2 |
| #3333 | 89 |