Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #19151922 | C2 | semidirect |
| 3. #19151922 | C2 | semidirect |
| 4. #19151916 | C2 | semidirect |
| 5. #19151911 | C2 | semidirect |
| 6. #19151638 | C2 | semidirect |
| 7. #19151634 | C2 | semidirect |
| 8. #19151602 | C2 | semidirect |
| 9. C2×#15667932 | C2 | semidirect |
| 10. #19151565 | C2 | semidirect |
| 11. #520×C89 | C2 | semidirect |
| 21. #15667945 | C22 | semidirect |
| 22. #15667945 | C22 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667943 | C22 | semidirect |
| 25. #15667943 | C22 | semidirect |
| 26. #15667943 | C22 | semidirect |
| 31. C22⋊#10623494 | C22 | semidirect |
| 32. C22⋊#10623494 | C22 | semidirect |
| 38. #117×C89 | C22 | semidirect |
| 40. C2×C4⋊C4×C89 | C22 | semidirect |
| 135. C89 | #3096 | semidirect |
| 137. #520 | D89 | semidirect |
| 161. #117 | C2×D89 | semidirect |
| 163. C2×C4⋊C4 | 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 |
| #19151916 | 2 |
| #19151911 | 2 |
| #19151638 | 2 |
| #19151634 | 2 |
| #19151602 | 2 |
| C2×#15667932 | 2 |
| #19151565 | 2 |
| #520×C89 | 2 |
| #3096 | 89 |