Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 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 |
|---|---|---|
| 3. #19151994 | C2 | semidirect |
| 4. #19151977 | C2 | semidirect |
| 5. #19151949 | C2 | semidirect |
| 7. #19151702 | C2 | semidirect |
| 9. #487×C89 | C2 | semidirect |
| 105. C89 | #3185 | semidirect |
| 111. #487 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19151994 | 2 |
| #19151977 | 2 |
| #19151949 | 2 |
| #19151855 | 2 |
| #19151702 | 2 |
| C4×#13083557 | 2 |
| #487×C89 | 2 |
| #3185 | 89 |