Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
448 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152150 | C2 | semidirect |
| 3. #19151929 | C2 | semidirect |
| 4. #19151926 | C2 | semidirect |
| 5. #19151886 | C2 | semidirect |
| 6. #19151801 | C2 | semidirect |
| 8. #19151689 | C2 | semidirect |
| 9. SD16×Dic89 | C2 | semidirect |
| 10. #19151648 | C2 | semidirect |
| 14. #15668011 | C22 | semidirect |
| 15. #15668010 | C22 | semidirect |
| 19. Q8×Dic89 | C22 | semidirect |
| 21. #15667977 | C22 | semidirect |
| 30. #15667944 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667936 | C22 | semidirect |
| 37. C8×Dic89 | C22 | semidirect |
| 103. C2×Dic89 | SD16 | semidirect |
| 137. C89 | #3101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| C2×D4×Dic89 | 2 |
| #19151929 | 2 |
| #19151926 | 2 |
| #19151886 | 2 |
| #19151801 | 2 |
| #19151749 | 2 |
| #19151689 | 2 |
| SD16×Dic89 | 2 |
| #19151648 | 2 |
| #450×C89 | 2 |
| #3101 | 89 |