Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
418 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152334 | C2 | semidirect |
| 2. #19152268 | C2 | semidirect |
| 3. #19151986 | C2 | semidirect |
| 4. #19151811 | C2 | semidirect |
| 5. #19151795 | C2 | semidirect |
| 6. #19151791 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 9. #19151710 | C2 | semidirect |
| 10. C4×#13083563 | C2 | semidirect |
| 11. #493×C89 | C2 | semidirect |
| 107. C8×C89 | #41 | semidirect |
| 135. C89 | #3399 | semidirect |
| 139. #493 | D89 | semidirect |
| 243. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152334 | 2 |
| #19152268 | 2 |
| #19151986 | 2 |
| #19151811 | 2 |
| #19151795 | 2 |
| #19151791 | 2 |
| #19151790 | 2 |
| #19151728 | 2 |
| #19151710 | 2 |
| C4×#13083563 | 2 |
| #493×C89 | 2 |
| #3399 | 89 |