Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
468 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 121 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×#15667992 | C2 | semidirect |
| 3. #19151930 | C2 | semidirect |
| 4. #19151916 | C2 | semidirect |
| 5. #19151828 | C2 | semidirect |
| 6. #19151826 | C2 | semidirect |
| 7. #19151750 | C2 | semidirect |
| 8. #19151739 | C2 | semidirect |
| 9. #19151736 | C2 | semidirect |
| 10. C22⋊C8×D89 | C2 | semidirect |
| 11. #481×C89 | C2 | semidirect |
| 12. C22×Dic178 | C22 | semidirect |
| 16. C2×#13083563 | C22 | semidirect |
| 17. C2×#13083562 | C22 | semidirect |
| 18. C2×C8×D89 | C22 | semidirect |
| 22. #15667992 | C22 | semidirect |
| 32. #15667943 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667935 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 36. C22⋊#10623494 | C22 | semidirect |
| 39. C2×C4⋊C4×C89 | C22 | semidirect |
| 40. #106×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 42. C22⋊C8×C89 | C22 | semidirect |
| 93. C22×D89 | SD16 | semidirect |
| 160. C89 | #3187 | semidirect |
| 165. #481 | D89 | semidirect |
| 191. C2×C4⋊C4 | C2×D89 | semidirect |
| 195. #106 | C2×D89 | semidirect |
| 199. #102 | C2×D89 | semidirect |
| 202. C22⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667992 | 2 |
| #121×D89 | 2 |
| #19151930 | 2 |
| #19151916 | 2 |
| #19151828 | 2 |
| #19151826 | 2 |
| #19151750 | 2 |
| #19151739 | 2 |
| #19151736 | 2 |
| C22⋊C8×D89 | 2 |
| #481×C89 | 2 |
| #3187 | 89 |