Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 484 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. C2×#15668033 | C2 | semidirect |
| 2. #19152252 | C2 | semidirect |
| 3. #19152251 | C2 | semidirect |
| 4. #19151977 | C2 | semidirect |
| 5. #19151838 | C2 | semidirect |
| 6. #19151804 | C2 | semidirect |
| 7. #19151763 | C2 | semidirect |
| 8. #19151757 | C2 | semidirect |
| 9. C4×#13083559 | C2 | semidirect |
| 10. #19151663 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 58. #13083559 | D4 | semidirect |
| 126. C4×C89 | #135 | semidirect |
| 139. C89 | #3283 | semidirect |
| 146. #461 | D89 | semidirect |
| 268. C4 | #15668033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668033 | 2 |
| #19152252 | 2 |
| #19152251 | 2 |
| #19151977 | 2 |
| #19151838 | 2 |
| #19151804 | 2 |
| #19151763 | 2 |
| #19151757 | 2 |
| C4×#13083559 | 2 |
| #19151663 | 2 |
| #461×C89 | 2 |
| #3283 | 89 |