Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152309 | C2 | semidirect |
| 3. #19151946 | C2 | semidirect |
| 4. #19151913 | C2 | semidirect |
| 5. #19151845 | C2 | semidirect |
| 6. #19151799 | C2 | semidirect |
| 7. #19151763 | C2 | semidirect |
| 8. C4×#13083564 | C2 | semidirect |
| 9. #19151675 | C2 | semidirect |
| 10. #19151598 | C2 | semidirect |
| 11. #477×C89 | C2 | semidirect |
| 129. C89 | #3333 | semidirect |
| 134. #477 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152309 | 2 |
| #19152270 | 2 |
| #19151946 | 2 |
| #19151913 | 2 |
| #19151845 | 2 |
| #19151799 | 2 |
| #19151763 | 2 |
| C4×#13083564 | 2 |
| #19151675 | 2 |
| #19151598 | 2 |
| #477×C89 | 2 |
| #3333 | 89 |