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 |
|---|---|---|
| 1. #19152155 | C2 | semidirect |
| 2. #19151997 | C2 | semidirect |
| 3. #19151952 | C2 | semidirect |
| 4. #19151936 | C2 | semidirect |
| 6. #19151893 | C2 | semidirect |
| 7. #19151888 | C2 | semidirect |
| 8. #19151883 | C2 | semidirect |
| 9. #19151878 | C2 | semidirect |
| 10. #19151651 | C2 | semidirect |
| 130. C89 | #3233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19151997 | 2 |
| #19151952 | 2 |
| #19151936 | 2 |
| #19151919 | 2 |
| #19151893 | 2 |
| #19151888 | 2 |
| #19151883 | 2 |
| #19151878 | 2 |
| #19151651 | 2 |
| #529×C89 | 2 |
| #3233 | 89 |