Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 462 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 |
|---|---|---|
| 2. C2×#15667970 | C2 | semidirect |
| 3. #19151924 | C2 | semidirect |
| 4. #19151920 | C2 | semidirect |
| 5. #19151916 | C2 | semidirect |
| 6. #19151912 | C2 | semidirect |
| 7. #19151909 | C2 | semidirect |
| 8. #19151637 | C2 | semidirect |
| 9. #19151601 | C2 | semidirect |
| 10. #19151560 | C2 | semidirect |
| 11. #481×C89 | C2 | semidirect |
| 24. #15667970 | C22 | semidirect |
| 25. C2×C4⋊Dic89 | C22 | semidirect |
| 30. #15667946 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667943 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667933 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 36. C22⋊#10623494 | C22 | semidirect |
| 37. #15667924 | 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 |
| 154. C89 | #3094 | semidirect |
| 160. #481 | D89 | semidirect |
| 182. C2×C4⋊C4 | C2×D89 | semidirect |
| 189. #106 | C2×D89 | semidirect |
| 193. #102 | C2×D89 | semidirect |
| 196. C22⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #121×D89 | 2 |
| C2×#15667970 | 2 |
| #19151924 | 2 |
| #19151920 | 2 |
| #19151916 | 2 |
| #19151912 | 2 |
| #19151909 | 2 |
| #19151637 | 2 |
| #19151601 | 2 |
| #19151560 | 2 |
| #481×C89 | 2 |
| #3094 | 89 |