Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
414 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #19151936 | C2 | semidirect |
| 3. #19151933 | C2 | semidirect |
| 4. #19151916 | C2 | semidirect |
| 5. #19151854 | C2 | semidirect |
| 6. #19151846 | C2 | semidirect |
| 7. #19151758 | C2 | semidirect |
| 8. #19151754 | C2 | semidirect |
| 9. #19151737 | C2 | semidirect |
| 10. #19151562 | C2 | semidirect |
| 11. C2×C22⋊Q8×C89 | C2 | semidirect |
| 13. C2×#13083564 | C22 | semidirect |
| 14. C2×#13083561 | C22 | semidirect |
| 25. #15667945 | C22 | semidirect |
| 26. #15667943 | C22 | semidirect |
| 27. #15667936 | C22 | semidirect |
| 28. #15667936 | C22 | semidirect |
| 29. #15667935 | C22 | semidirect |
| 30. #15667932 | C22 | semidirect |
| 150. C89 | #3196 | semidirect |
| 152. C2×C22⋊Q8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152109 | 2 |
| #19151936 | 2 |
| #19151933 | 2 |
| #19151916 | 2 |
| #19151854 | 2 |
| #19151846 | 2 |
| #19151758 | 2 |
| #19151754 | 2 |
| #19151737 | 2 |
| #19151562 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #3196 | 89 |