Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
460 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 460 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. #19152268 | C2 | semidirect |
| 2. #19151973 | C2 | semidirect |
| 3. #19151791 | C2 | semidirect |
| 4. #19151790 | C2 | semidirect |
| 5. C8×Dic178 | C2 | semidirect |
| 6. C4×D712 | C2 | semidirect |
| 7. D8×Dic89 | C2 | semidirect |
| 8. #493×C89 | C2 | semidirect |
| 70. Dic178 | D8 | semidirect |
| 72. C8×C89 | #41 | semidirect |
| 94. C89 | #3391 | semidirect |
| 97. #493 | D89 | semidirect |
| 167. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152268 | 2 |
| #19151973 | 2 |
| #19151791 | 2 |
| #19151790 | 2 |
| C8×Dic178 | 2 |
| C4×D712 | 2 |
| D8×Dic89 | 2 |
| #493×C89 | 2 |
| #3391 | 89 |