Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152149 | C2 | semidirect |
| 2. #19152133 | C2 | semidirect |
| 3. #19151990 | C2 | semidirect |
| 4. #19151987 | C2 | semidirect |
| 5. #19151964 | C2 | semidirect |
| 6. #19151823 | C2 | semidirect |
| 7. #19151816 | C2 | semidirect |
| 8. #19151763 | C2 | semidirect |
| 9. #19151746 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #491×C89 | C2 | semidirect |
| 141. C89 | #3219 | semidirect |
| 146. #491 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| #19152133 | 2 |
| #19151990 | 2 |
| #19151987 | 2 |
| #19151964 | 2 |
| #19151823 | 2 |
| #19151816 | 2 |
| #19151763 | 2 |
| #19151746 | 2 |
| #19151653 | 2 |
| #491×C89 | 2 |
| #3219 | 89 |