Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 3. #19151892 | C2 | semidirect |
| 4. #19151890 | C2 | semidirect |
| 7. #19151809 | C2 | semidirect |
| 8. #19151808 | C2 | semidirect |
| 9. #19151807 | C2 | semidirect |
| 11. #477×C89 | C2 | semidirect |
| 100. C4×D89 | Q16 | semidirect |
| 130. C89 | #3249 | semidirect |
| 135. #477 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152152 | 2 |
| #19151892 | 2 |
| #19151890 | 2 |
| #19151840 | 2 |
| #19151838 | 2 |
| #19151809 | 2 |
| #19151808 | 2 |
| #19151807 | 2 |
| C4⋊C8×D89 | 2 |
| #477×C89 | 2 |
| #3249 | 89 |