Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
374 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 374 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. #19152318 | C2 | semidirect |
| 2. #19152001 | C2 | semidirect |
| 3. #19151933 | C2 | semidirect |
| 4. #19151919 | C2 | semidirect |
| 5. #19151880 | C2 | semidirect |
| 6. #19151878 | C2 | semidirect |
| 7. #19151842 | C2 | semidirect |
| 8. C4×#13083562 | C2 | semidirect |
| 9. #19151676 | C2 | semidirect |
| 10. #19151638 | C2 | semidirect |
| 99. #10623494 | #41 | semidirect |
| 123. C89 | #3353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152318 | 2 |
| #19152001 | 2 |
| #19151933 | 2 |
| #19151919 | 2 |
| #19151880 | 2 |
| #19151878 | 2 |
| #19151842 | 2 |
| C4×#13083562 | 2 |
| #19151676 | 2 |
| #19151638 | 2 |
| #547×C89 | 2 |
| #3353 | 89 |