Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152151 | C2 | semidirect |
| 3. #19151961 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151604 | C2 | semidirect |
| 6. #19151603 | C2 | semidirect |
| 7. #19151602 | C2 | semidirect |
| 8. M16×Dic89 | C2 | semidirect |
| 9. #418×C89 | C2 | semidirect |
| 13. #15668011 | C22 | semidirect |
| 17. #15668003 | C22 | semidirect |
| 22. #15667934 | C22 | semidirect |
| 23. #15667933 | C22 | semidirect |
| 24. #15667932 | C22 | semidirect |
| 25. #15667922 | C22 | semidirect |
| 26. C8×Dic89 | C22 | semidirect |
| 30. #102×C89 | C22 | semidirect |
| 112. C89 | #3138 | semidirect |
| 120. #418 | D89 | semidirect |
| 140. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| C2×#15668008 | 2 |
| #19151961 | 2 |
| #19151943 | 2 |
| #19151604 | 2 |
| #19151603 | 2 |
| #19151602 | 2 |
| M16×Dic89 | 2 |
| #418×C89 | 2 |
| #3138 | 89 |