Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152129 | C2 | semidirect |
| 2. #19151999 | C2 | semidirect |
| 3. #19151981 | C2 | semidirect |
| 4. #19151951 | C2 | semidirect |
| 5. #19151839 | C2 | semidirect |
| 6. #19151825 | C2 | semidirect |
| 7. #19151692 | C2 | semidirect |
| 8. #19151689 | C2 | semidirect |
| 9. D8×Dic89 | C2 | semidirect |
| 10. C2×C8×Dic89 | C2 | semidirect |
| 119. C89 | #3168 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152129 | 2 |
| #19151999 | 2 |
| #19151981 | 2 |
| #19151951 | 2 |
| #19151839 | 2 |
| #19151825 | 2 |
| #19151692 | 2 |
| #19151689 | 2 |
| D8×Dic89 | 2 |
| C2×C8×Dic89 | 2 |
| #466×C89 | 2 |
| #3168 | 89 |