Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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. C22×#13083563 | C2 | semidirect |
| 2. C2×#15668018 | C2 | semidirect |
| 3. #19152174 | C2 | semidirect |
| 5. #19151845 | C2 | semidirect |
| 6. #19151828 | C2 | semidirect |
| 7. #19151606 | C2 | semidirect |
| 8. #19151602 | C2 | semidirect |
| 9. #427×C89 | C2 | semidirect |
| 18. C2×#13083557 | C22 | semidirect |
| 19. C2×C8×D89 | C22 | semidirect |
| 25. #15667992 | C22 | semidirect |
| 28. #15667935 | C22 | semidirect |
| 33. #107×C89 | C22 | semidirect |
| 34. #106×C89 | C22 | semidirect |
| 62. C2×C8×C89 | D4 | semidirect |
| 121. C89 | #3057 | semidirect |
| 128. #427 | D89 | semidirect |
| 152. #107 | C2×D89 | semidirect |
| 153. #106 | C2×D89 | semidirect |
| 180. C2×C8 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083563 | 2 |
| C2×#15668018 | 2 |
| #19152174 | 2 |
| #19152167 | 2 |
| #19151845 | 2 |
| #19151828 | 2 |
| #19151606 | 2 |
| #19151602 | 2 |
| #427×C89 | 2 |
| #3057 | 89 |