Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152211 | C2 | semidirect |
| 3. #19151992 | C2 | semidirect |
| 4. #19151970 | C2 | semidirect |
| 5. #19151955 | C2 | semidirect |
| 6. #19151819 | C2 | semidirect |
| 7. #19151797 | C2 | semidirect |
| 8. #19151761 | C2 | semidirect |
| 9. #19151750 | C2 | semidirect |
| 10. #19151660 | C2 | semidirect |
| 11. #490×C89 | C2 | semidirect |
| 14. C2×Dic356 | C22 | semidirect |
| 17. C2×#13083562 | C22 | semidirect |
| 18. #15668012 | C22 | semidirect |
| 27. #15667977 | C22 | semidirect |
| 29. #15667941 | C22 | semidirect |
| 30. #15667935 | C22 | semidirect |
| 33. C4×#10623494 | C22 | semidirect |
| 35. #125×C89 | C22 | semidirect |
| 37. #102×C89 | C22 | semidirect |
| 38. #97×C89 | C22 | semidirect |
| 123. C89 | #3222 | semidirect |
| 128. #490 | D89 | semidirect |
| 146. #125 | C2×D89 | semidirect |
| 158. #102 | C2×D89 | semidirect |
| 160. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152211 | 2 |
| #19152161 | 2 |
| #19151992 | 2 |
| #19151970 | 2 |
| #19151955 | 2 |
| #19151819 | 2 |
| #19151797 | 2 |
| #19151761 | 2 |
| #19151750 | 2 |
| #19151660 | 2 |
| #490×C89 | 2 |
| #3222 | 89 |