Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
444 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 444 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. #19152413 | C2 | semidirect |
| 2. #19152412 | C2 | semidirect |
| 3. #19151976 | C2 | semidirect |
| 4. #19151873 | C2 | semidirect |
| 5. #19151871 | C2 | semidirect |
| 6. #19151870 | C2 | semidirect |
| 7. #19151781 | C2 | semidirect |
| 8. #19151779 | C2 | semidirect |
| 9. #19151715 | C2 | semidirect |
| 10. #19151713 | C2 | semidirect |
| 11. #578×C89 | C2 | semidirect |
| 147. C89 | #3293 | semidirect |
| 150. #578 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152413 | 2 |
| #19152412 | 2 |
| #19151976 | 2 |
| #19151873 | 2 |
| #19151871 | 2 |
| #19151870 | 2 |
| #19151781 | 2 |
| #19151779 | 2 |
| #19151715 | 2 |
| #19151713 | 2 |
| #578×C89 | 2 |
| #3293 | 89 |