Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
700 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 165 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. #19151526 | C2 | semidirect |
| 3. #19151471 | C2 | semidirect |
| 4. #19151470 | C2 | semidirect |
| 5. #19151461 | C2 | semidirect |
| 6. #19151459 | C2 | semidirect |
| 11. C2×#13083553 | C22 | semidirect |
| 18. #15667919 | C22 | semidirect |
| 19. #15667919 | C22 | semidirect |
| 20. #15667919 | C22 | semidirect |
| 117. C89 | #2483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊Dic89 | 2 |
| #19151526 | 2 |
| #19151471 | 2 |
| #19151470 | 2 |
| #19151461 | 2 |
| #19151459 | 2 |
| #19151454 | 2 |
| C22×C22⋊C4×C89 | 2 |
| #2483 | 89 |