Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
488 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152153 | C2 | semidirect |
| 3. #19151971 | C2 | semidirect |
| 4. #19151970 | C2 | semidirect |
| 5. #19151946 | C2 | semidirect |
| 6. #19151797 | C2 | semidirect |
| 7. #19151750 | C2 | semidirect |
| 8. #19151649 | C2 | semidirect |
| 9. #486×C89 | C2 | semidirect |
| 13. C2×#13083563 | C22 | semidirect |
| 14. C2×#13083562 | C22 | semidirect |
| 15. #15668012 | C22 | semidirect |
| 24. #15667977 | C22 | semidirect |
| 27. #15667941 | C22 | semidirect |
| 28. #15667932 | C22 | semidirect |
| 30. C4×#10623494 | C22 | semidirect |
| 31. C4⋊Q8×C89 | C22 | semidirect |
| 33. #102×C89 | C22 | semidirect |
| 34. C4×C8×C89 | C22 | semidirect |
| 95. C4×D89 | SD16 | semidirect |
| 125. C89 | #3208 | semidirect |
| 131. #486 | D89 | semidirect |
| 141. C4⋊Q8 | C2×D89 | semidirect |
| 156. #102 | C2×D89 | semidirect |
| 159. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #127×D89 | 2 |
| #19151971 | 2 |
| #19151970 | 2 |
| #19151946 | 2 |
| #19151797 | 2 |
| #19151750 | 2 |
| #19151649 | 2 |
| #486×C89 | 2 |
| #3208 | 89 |