Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 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 |
|---|---|---|
| 2. #19152002 | C2 | semidirect |
| 3. #19151932 | C2 | semidirect |
| 4. #19151931 | C2 | semidirect |
| 5. #19151891 | C2 | semidirect |
| 6. #19151836 | C2 | semidirect |
| 7. Q16×Dic89 | C2 | semidirect |
| 9. C2×#15667946 | C2 | semidirect |
| 10. #107×D89 | C2 | semidirect |
| 11. #467×C89 | C2 | semidirect |
| 79. C22⋊D89 | Q16 | semidirect |
| 117. C89 | #3338 | semidirect |
| 124. #467 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152306 | 2 |
| #19152002 | 2 |
| #19151932 | 2 |
| #19151931 | 2 |
| #19151891 | 2 |
| #19151836 | 2 |
| Q16×Dic89 | 2 |
| C8×C22⋊D89 | 2 |
| C2×#15667946 | 2 |
| #107×D89 | 2 |
| #467×C89 | 2 |
| #3338 | 89 |