Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
150 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 47 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. #107×D89 | C2 | semidirect |
| 3. #19151426 | C2 | semidirect |
| 4. #19151425 | C2 | semidirect |
| 5. #19151399 | C2 | semidirect |
| 6. #19151377 | C2 | semidirect |
| 7. #357×C89 | C2 | semidirect |
| 71. C89 | #2233 | semidirect |
| 77. #357 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151831 | 2 |
| #107×D89 | 2 |
| #19151426 | 2 |
| #19151425 | 2 |
| #19151399 | 2 |
| #19151377 | 2 |
| #357×C89 | 2 |
| #2233 | 89 |