Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
352 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19151994 | C2 | semidirect |
| 3. #19151936 | C2 | semidirect |
| 4. #19151922 | C2 | semidirect |
| 5. #19151893 | C2 | semidirect |
| 6. #19151875 | C2 | semidirect |
| 7. #19151829 | C2 | semidirect |
| 8. C4×#13083561 | C2 | semidirect |
| 9. D4×#10623494 | C2 | semidirect |
| 10. #19151634 | C2 | semidirect |
| 11. #556×C89 | C2 | semidirect |
| 121. C89 | #3340 | semidirect |
| 122. #556 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152313 | 2 |
| #19151994 | 2 |
| #19151936 | 2 |
| #19151922 | 2 |
| #19151893 | 2 |
| #19151875 | 2 |
| #19151829 | 2 |
| C4×#13083561 | 2 |
| D4×#10623494 | 2 |
| #19151634 | 2 |
| #556×C89 | 2 |
| #3340 | 89 |