Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#15668038 | C2 | semidirect |
| 2. C2×#15668034 | C2 | semidirect |
| 3. #19152165 | C2 | semidirect |
| 4. #19151986 | C2 | semidirect |
| 5. #19151981 | C2 | semidirect |
| 6. #19151973 | C2 | semidirect |
| 7. #19151553 | C2 | semidirect |
| 8. C22×D8×C89 | C2 | semidirect |
| 12. C2×Dic356 | C22 | semidirect |
| 13. C2×#13083563 | C22 | semidirect |
| 14. C2×#13083562 | C22 | semidirect |
| 15. C2×D712 | C22 | semidirect |
| 16. C2×#13083559 | C22 | semidirect |
| 18. #15668008 | C22 | semidirect |
| 19. #15667999 | C22 | semidirect |
| 23. #15667922 | C22 | semidirect |
| 24. C8×Dic89 | C22 | semidirect |
| 42. #13083558 | D4 | semidirect |
| 56. C2×C8×C89 | D4 | semidirect |
| 102. C89 | #3155 | semidirect |
| 105. C22×D8 | D89 | semidirect |
| 154. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| C2×#15668034 | 2 |
| #19152165 | 2 |
| #19151986 | 2 |
| #19151981 | 2 |
| #19151973 | 2 |
| #19151553 | 2 |
| C22×D8×C89 | 2 |
| #3155 | 89 |