Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
434 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19152147 | C2 | semidirect |
| 2. #19152146 | C2 | semidirect |
| 3. #19151985 | C2 | semidirect |
| 4. #19151958 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151801 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151742 | C2 | semidirect |
| 9. #19151740 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #496×C89 | C2 | semidirect |
| 150. C89 | #3214 | semidirect |
| 154. #496 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152147 | 2 |
| #19152146 | 2 |
| #19151985 | 2 |
| #19151958 | 2 |
| #19151957 | 2 |
| #19151801 | 2 |
| #19151791 | 2 |
| #19151742 | 2 |
| #19151740 | 2 |
| #19151653 | 2 |
| #496×C89 | 2 |
| #3214 | 89 |