Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
490 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 113 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. #127×D89 | C2 | semidirect |
| 2. #19152133 | C2 | semidirect |
| 3. #19151987 | C2 | semidirect |
| 4. #19151985 | C2 | semidirect |
| 5. #19151964 | C2 | semidirect |
| 6. #19151797 | C2 | semidirect |
| 7. #19151792 | C2 | semidirect |
| 8. #19151750 | C2 | semidirect |
| 9. #19151733 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #490×C89 | C2 | semidirect |
| 15. C2×#13083563 | C22 | semidirect |
| 16. C2×#13083562 | C22 | semidirect |
| 17. C2×D712 | C22 | semidirect |
| 18. C2×#13083559 | C22 | semidirect |
| 24. #15668000 | C22 | semidirect |
| 28. #15667977 | C22 | semidirect |
| 30. #15667974 | C22 | semidirect |
| 33. #15667941 | C22 | semidirect |
| 34. #15667932 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 37. #15667923 | C22 | semidirect |
| 39. #125×C89 | C22 | semidirect |
| 40. #102×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 42. #97×C89 | C22 | semidirect |
| 153. C89 | #3217 | semidirect |
| 159. #490 | D89 | semidirect |
| 178. #125 | C2×D89 | semidirect |
| 191. #102 | C2×D89 | semidirect |
| 192. #102 | C2×D89 | semidirect |
| 195. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #127×D89 | 2 |
| #19152133 | 2 |
| #19151987 | 2 |
| #19151985 | 2 |
| #19151964 | 2 |
| #19151797 | 2 |
| #19151792 | 2 |
| #19151750 | 2 |
| #19151733 | 2 |
| #19151653 | 2 |
| #490×C89 | 2 |
| #3217 | 89 |