Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
392 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #19152132 | C2 | semidirect |
| 2. #19151898 | C2 | semidirect |
| 3. #19151880 | C2 | semidirect |
| 4. #19151875 | C2 | semidirect |
| 5. #19151849 | C2 | semidirect |
| 6. #19151842 | C2 | semidirect |
| 7. #19151813 | C2 | semidirect |
| 8. #19151795 | C2 | semidirect |
| 9. #19151790 | C2 | semidirect |
| 10. #19151622 | C2 | semidirect |
| 11. #532×C89 | C2 | semidirect |
| 142. C89 | #3251 | semidirect |
| 143. #532 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151898 | 2 |
| #19151880 | 2 |
| #19151875 | 2 |
| #19151849 | 2 |
| #19151842 | 2 |
| #19151813 | 2 |
| #19151795 | 2 |
| #19151790 | 2 |
| #19151622 | 2 |
| #532×C89 | 2 |
| #3251 | 89 |