Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#15668011 | C2 | semidirect |
| 3. #19151995 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151917 | C2 | semidirect |
| 6. #19151916 | C2 | semidirect |
| 7. #19151914 | C2 | semidirect |
| 8. #19151887 | C2 | semidirect |
| 9. #19151886 | C2 | semidirect |
| 10. #19151648 | C2 | semidirect |
| 11. #481×C89 | C2 | semidirect |
| 138. C89 | #3227 | semidirect |
| 146. #481 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| C2×#15668011 | 2 |
| #19151995 | 2 |
| #19151943 | 2 |
| #19151917 | 2 |
| #19151916 | 2 |
| #19151914 | 2 |
| #19151887 | 2 |
| #19151886 | 2 |
| #19151648 | 2 |
| #481×C89 | 2 |
| #3227 | 89 |