Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#15668037 | C2 | semidirect |
| 2. C22×#13083559 | C2 | semidirect |
| 3. #19152072 | C2 | semidirect |
| 4. #19151810 | C2 | semidirect |
| 5. #19151790 | C2 | semidirect |
| 6. #19151625 | C2 | semidirect |
| 7. #19151603 | C2 | semidirect |
| 8. #19151594 | C2 | semidirect |
| 9. #535×C89 | C2 | semidirect |
| 12. C2×#13083561 | C22 | semidirect |
| 15. C2×#13083559 | C22 | semidirect |
| 18. C4×D356 | C22 | semidirect |
| 22. C4⋊#10623494 | C22 | semidirect |
| 23. #15667936 | C22 | semidirect |
| 24. #15667933 | C22 | semidirect |
| 25. #15667933 | C22 | semidirect |
| 28. #127×C89 | C22 | semidirect |
| 29. #124×C89 | C22 | semidirect |
| 36. C2×D356 | D4 | semidirect |
| 122. C89 | #3041 | semidirect |
| 125. #535 | D89 | semidirect |
| 142. #127 | C2×D89 | semidirect |
| 143. #124 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| C22×#13083559 | 2 |
| #19152072 | 2 |
| #19151810 | 2 |
| #19151790 | 2 |
| #19151625 | 2 |
| #19151603 | 2 |
| #19151594 | 2 |
| #535×C89 | 2 |
| #3041 | 89 |