Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
332 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 332 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. #19151997 | C2 | semidirect |
| 3. #19151955 | C2 | semidirect |
| 4. #19151939 | C2 | semidirect |
| 6. #19151890 | C2 | semidirect |
| 7. #19151885 | C2 | semidirect |
| 8. #19151880 | C2 | semidirect |
| 9. #19151875 | C2 | semidirect |
| 10. #19151651 | C2 | semidirect |
| 11. #533×C89 | C2 | semidirect |
| 130. C89 | #3233 | semidirect |
| 131. #533 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151997 | 2 |
| #19151955 | 2 |
| #19151939 | 2 |
| #19151922 | 2 |
| #19151890 | 2 |
| #19151885 | 2 |
| #19151880 | 2 |
| #19151875 | 2 |
| #19151651 | 2 |
| #533×C89 | 2 |
| #3233 | 89 |