Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
532 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 532 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. #19152149 | C2 | semidirect |
| 2. #127×D89 | C2 | semidirect |
| 3. #19151975 | C2 | semidirect |
| 4. #19151974 | C2 | semidirect |
| 5. #19151946 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151733 | C2 | semidirect |
| 8. #19151649 | C2 | semidirect |
| 9. #486×C89 | C2 | semidirect |
| 14. C2×D712 | C22 | semidirect |
| 15. C2×#13083559 | C22 | semidirect |
| 17. #15668009 | C22 | semidirect |
| 25. #15667974 | 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 |
| 101. C4×D89 | D8 | semidirect |
| 133. C89 | #3205 | semidirect |
| 139. #486 | D89 | semidirect |
| 149. C4⋊Q8 | C2×D89 | semidirect |
| 164. #102 | C2×D89 | semidirect |
| 167. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| #127×D89 | 2 |
| #19151975 | 2 |
| #19151974 | 2 |
| #19151946 | 2 |
| #19151792 | 2 |
| #19151733 | 2 |
| #19151649 | 2 |
| #486×C89 | 2 |
| #3205 | 89 |