Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152153 | C2 | semidirect |
| 3. #19152004 | C2 | semidirect |
| 4. #19151993 | C2 | semidirect |
| 5. #19151967 | C2 | semidirect |
| 6. #19151838 | C2 | semidirect |
| 8. #19151702 | C2 | semidirect |
| 9. #19151695 | C2 | semidirect |
| 10. #97×D89 | C2 | semidirect |
| 11. #489×C89 | C2 | semidirect |
| 130. C89 | #3181 | semidirect |
| 136. #489 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152127 | 2 |
| #19152004 | 2 |
| #19151993 | 2 |
| #19151967 | 2 |
| #19151838 | 2 |
| #19151826 | 2 |
| #19151702 | 2 |
| #19151695 | 2 |
| #97×D89 | 2 |
| #489×C89 | 2 |
| #3181 | 89 |