Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
418 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152334 | C2 | semidirect |
| 2. #19152269 | C2 | semidirect |
| 3. #19151986 | C2 | semidirect |
| 4. #19151974 | C2 | semidirect |
| 5. #19151812 | C2 | semidirect |
| 6. #19151799 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151725 | C2 | semidirect |
| 9. #19151707 | C2 | semidirect |
| 10. C4×#13083562 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 108. #10623494 | #41 | semidirect |
| 135. C89 | #3399 | semidirect |
| 143. #459 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152334 | 2 |
| #19152269 | 2 |
| #19151986 | 2 |
| #19151974 | 2 |
| #19151812 | 2 |
| #19151799 | 2 |
| #19151791 | 2 |
| #19151725 | 2 |
| #19151707 | 2 |
| C4×#13083562 | 2 |
| #459×C89 | 2 |
| #3399 | 89 |