Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
442 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 442 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. #19152162 | C2 | semidirect |
| 2. #19151922 | C2 | semidirect |
| 3. #19151919 | C2 | semidirect |
| 4. #19151849 | C2 | semidirect |
| 5. #19151832 | C2 | semidirect |
| 6. #19151732 | C2 | semidirect |
| 7. #19151731 | C2 | semidirect |
| 8. #19151565 | C2 | semidirect |
| 9. #535×C89 | C2 | semidirect |
| 10. C22×D356 | C22 | semidirect |
| 13. C2×#13083558 | C22 | semidirect |
| 14. C22×#10623494 | C22 | semidirect |
| 18. #15667986 | C22 | semidirect |
| 21. #15667971 | C22 | semidirect |
| 22. #15667945 | C22 | semidirect |
| 23. #15667943 | C22 | semidirect |
| 24. #15667933 | C22 | semidirect |
| 25. #15667933 | C22 | semidirect |
| 26. #15667932 | C22 | semidirect |
| 27. #15667932 | C22 | semidirect |
| 28. C22⋊#10623494 | C22 | semidirect |
| 29. C22⋊#10623494 | C22 | semidirect |
| 31. C22×D4×C89 | C22 | semidirect |
| 35. #121×C89 | C22 | semidirect |
| 38. #117×C89 | C22 | semidirect |
| 145. C89 | #3199 | semidirect |
| 147. #535 | D89 | semidirect |
| 157. C22×D4 | C2×D89 | semidirect |
| 169. #121 | C2×D89 | semidirect |
| 175. #117 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152162 | 2 |
| #19151922 | 2 |
| #19151919 | 2 |
| #19151849 | 2 |
| #19151832 | 2 |
| #19151732 | 2 |
| #19151731 | 2 |
| #19151565 | 2 |
| #535×C89 | 2 |
| #3199 | 89 |