Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 484 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. #19152153 | C2 | semidirect |
| 3. #19151961 | C2 | semidirect |
| 4. #19151946 | C2 | semidirect |
| 5. #19151945 | C2 | semidirect |
| 6. #19151944 | C2 | semidirect |
| 7. #19151601 | C2 | semidirect |
| 8. C4×#13083557 | C2 | semidirect |
| 9. #486×C89 | C2 | semidirect |
| 14. #15668012 | C22 | semidirect |
| 19. #15668003 | C22 | semidirect |
| 26. #15667934 | C22 | semidirect |
| 27. #15667933 | C22 | semidirect |
| 28. #15667932 | C22 | semidirect |
| 29. #15667922 | C22 | semidirect |
| 30. C4×#10623494 | C22 | semidirect |
| 31. C4⋊Q8×C89 | C22 | semidirect |
| 33. #102×C89 | C22 | semidirect |
| 34. C4×C8×C89 | C22 | semidirect |
| 124. C89 | #3138 | semidirect |
| 131. #486 | D89 | semidirect |
| 139. C4⋊Q8 | C2×D89 | semidirect |
| 155. #102 | C2×D89 | semidirect |
| 158. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #127×D89 | 2 |
| #19151961 | 2 |
| #19151946 | 2 |
| #19151945 | 2 |
| #19151944 | 2 |
| #19151601 | 2 |
| C4×#13083557 | 2 |
| #486×C89 | 2 |
| #3138 | 89 |