Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152153 | C2 | semidirect |
| 3. #19151954 | C2 | semidirect |
| 4. #19151948 | C2 | semidirect |
| 5. #19151946 | C2 | semidirect |
| 6. #19151945 | C2 | semidirect |
| 7. #19151593 | C2 | semidirect |
| 8. C4×C8×D89 | C2 | semidirect |
| 9. #487×C89 | C2 | semidirect |
| 112. C89 | #3131 | semidirect |
| 117. #487 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152149 | 2 |
| #19151954 | 2 |
| #19151948 | 2 |
| #19151946 | 2 |
| #19151945 | 2 |
| #19151593 | 2 |
| C4×C8×D89 | 2 |
| #487×C89 | 2 |
| #3131 | 89 |