Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
176 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 51 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. #19151946 | C2 | semidirect |
| 3. #19151676 | C2 | semidirect |
| 4. #19151348 | C2 | semidirect |
| 5. #19151344 | C2 | semidirect |
| 6. #19151341 | C2 | semidirect |
| 7. #461×C89 | C2 | semidirect |
| 85. C89 | #1701 | semidirect |
| 87. #461 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151946 | 2 |
| #19151793 | 2 |
| #19151676 | 2 |
| #19151348 | 2 |
| #19151344 | 2 |
| #19151341 | 2 |
| #461×C89 | 2 |
| #1701 | 89 |