Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152226 | C2 | semidirect |
| 2. #19151962 | C2 | semidirect |
| 3. #19151957 | C2 | semidirect |
| 4. #19151952 | C2 | semidirect |
| 5. #19151944 | C2 | semidirect |
| 6. #19151603 | C2 | semidirect |
| 7. #19151599 | C2 | semidirect |
| 8. #19151594 | C2 | semidirect |
| 9. C2×#15667933 | C2 | semidirect |
| 10. #19151554 | C2 | semidirect |
| 14. #15668012 | C22 | semidirect |
| 16. #15668004 | C22 | semidirect |
| 21. #15667936 | C22 | semidirect |
| 22. #15667936 | C22 | semidirect |
| 23. #15667936 | C22 | semidirect |
| 28. #15667933 | C22 | semidirect |
| 29. #15667933 | C22 | semidirect |
| 30. #15667933 | C22 | semidirect |
| 31. #15667923 | C22 | semidirect |
| 32. C4×#10623494 | C22 | semidirect |
| 136. C89 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19151962 | 2 |
| #19151957 | 2 |
| #19151952 | 2 |
| #19151944 | 2 |
| #19151603 | 2 |
| #19151599 | 2 |
| #19151594 | 2 |
| C2×#15667933 | 2 |
| #19151554 | 2 |
| #535×C89 | 2 |
| #3136 | 89 |