Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19152172 | C2 | semidirect |
| 3. #19152073 | C2 | semidirect |
| 4. #19151815 | C2 | semidirect |
| 5. #19151801 | C2 | semidirect |
| 6. #19151624 | C2 | semidirect |
| 7. #19151607 | C2 | semidirect |
| 8. #19151595 | C2 | semidirect |
| 9. C22×SD16×C89 | C2 | semidirect |
| 15. #15668010 | C22 | semidirect |
| 16. #15668001 | C22 | semidirect |
| 24. #15667941 | C22 | semidirect |
| 25. #15667937 | C22 | semidirect |
| 26. #15667936 | C22 | semidirect |
| 27. #15667934 | C22 | semidirect |
| 117. C89 | #3042 | semidirect |
| 119. C22×SD16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| #19152172 | 2 |
| #19152073 | 2 |
| #19151815 | 2 |
| #19151801 | 2 |
| #19151624 | 2 |
| #19151607 | 2 |
| #19151595 | 2 |
| C22×SD16×C89 | 2 |
| #3042 | 89 |