Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
434 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152146 | C2 | semidirect |
| 2. #19152145 | C2 | semidirect |
| 3. #19151986 | C2 | semidirect |
| 4. #19151956 | C2 | semidirect |
| 5. #19151804 | C2 | semidirect |
| 6. #19151803 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. #19151744 | C2 | semidirect |
| 9. #19151740 | C2 | semidirect |
| 10. #19151654 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 154. C89 | #3214 | semidirect |
| 162. #459 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| #19152145 | 2 |
| #19151986 | 2 |
| #19151956 | 2 |
| #19151804 | 2 |
| #19151803 | 2 |
| #19151790 | 2 |
| #19151744 | 2 |
| #19151740 | 2 |
| #19151654 | 2 |
| #459×C89 | 2 |
| #3214 | 89 |