Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152109 | C2 | semidirect |
| 2. #19151933 | C2 | semidirect |
| 3. #19151919 | C2 | semidirect |
| 4. #19151916 | C2 | semidirect |
| 5. #19151832 | C2 | semidirect |
| 6. #19151825 | C2 | semidirect |
| 7. #19151749 | C2 | semidirect |
| 8. #19151741 | C2 | semidirect |
| 9. #19151732 | C2 | semidirect |
| 10. C2×C22⋊#10623494 | C2 | semidirect |
| 11. C2×#121×C89 | C2 | semidirect |
| 12. C2×#13083574 | C22 | semidirect |
| 13. C2×#13083562 | C22 | semidirect |
| 14. C2×#13083559 | C22 | semidirect |
| 15. C22×#10623494 | C22 | semidirect |
| 18. #15667991 | C22 | semidirect |
| 20. #15667986 | C22 | semidirect |
| 24. #15667971 | C22 | semidirect |
| 25. #15667945 | C22 | semidirect |
| 26. #15667943 | C22 | semidirect |
| 27. #15667935 | C22 | semidirect |
| 28. #15667933 | C22 | semidirect |
| 29. #15667933 | C22 | semidirect |
| 30. #15667932 | C22 | semidirect |
| 33. C22⋊#10623494 | C22 | semidirect |
| 159. C89 | #3188 | semidirect |
| 161. C2×#121 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152109 | 2 |
| #19151933 | 2 |
| #19151919 | 2 |
| #19151916 | 2 |
| #19151832 | 2 |
| #19151825 | 2 |
| #19151749 | 2 |
| #19151741 | 2 |
| #19151732 | 2 |
| C2×C22⋊#10623494 | 2 |
| C2×#121×C89 | 2 |
| #3188 | 89 |