Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 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. #19152169 | C2 | semidirect |
| 2. #19151939 | C2 | semidirect |
| 3. #19151919 | C2 | semidirect |
| 4. #19151842 | C2 | semidirect |
| 5. #19151825 | C2 | semidirect |
| 6. #19151749 | C2 | semidirect |
| 7. #19151736 | C2 | semidirect |
| 8. #19151565 | C2 | semidirect |
| 10. C22×Dic178 | C22 | semidirect |
| 13. C2×#13083558 | C22 | semidirect |
| 14. C22×#10623494 | C22 | semidirect |
| 20. #15667991 | C22 | semidirect |
| 21. #15667971 | C22 | semidirect |
| 22. #15667945 | C22 | semidirect |
| 23. #15667943 | C22 | semidirect |
| 24. #15667935 | C22 | semidirect |
| 25. #15667935 | C22 | semidirect |
| 29. C22⋊#10623494 | C22 | semidirect |
| 138. C89 | #3200 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152169 | 2 |
| #19151939 | 2 |
| #19151919 | 2 |
| #19151842 | 2 |
| #19151825 | 2 |
| #19151749 | 2 |
| #19151736 | 2 |
| #19151565 | 2 |
| #535×C89 | 2 |
| #3200 | 89 |