Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
524 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 524 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 |
|---|---|---|
| 1. C22×#13083559 | C2 | semidirect |
| 2. C2×#15668020 | C2 | semidirect |
| 3. #19152167 | C2 | semidirect |
| 4. #19152165 | C2 | semidirect |
| 5. #19151850 | C2 | semidirect |
| 6. #19151833 | C2 | semidirect |
| 7. #19151634 | C2 | semidirect |
| 8. #19151604 | C2 | semidirect |
| 9. #418×C89 | C2 | semidirect |
| 16. C2×#13083557 | C22 | semidirect |
| 18. C2×C8×D89 | C22 | semidirect |
| 23. #15667987 | C22 | semidirect |
| 24. #15667983 | C22 | semidirect |
| 28. #15667945 | C22 | semidirect |
| 29. #15667943 | C22 | semidirect |
| 30. #15667934 | C22 | semidirect |
| 34. #102×C89 | C22 | semidirect |
| 51. C2×#10623494 | D4 | semidirect |
| 126. C89 | #3058 | semidirect |
| 135. #418 | D89 | semidirect |
| 160. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083559 | 2 |
| C2×#15668020 | 2 |
| #19152167 | 2 |
| #19152165 | 2 |
| #19151850 | 2 |
| #19151833 | 2 |
| #19151634 | 2 |
| #19151604 | 2 |
| #418×C89 | 2 |
| #3058 | 89 |