Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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×#15667977 | C2 | semidirect |
| 4. #19151904 | C2 | semidirect |
| 5. #19151823 | C2 | semidirect |
| 6. #19151753 | C2 | semidirect |
| 8. #19151702 | C2 | semidirect |
| 9. #19151697 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #484×C89 | C2 | semidirect |
| 132. C89 | #3117 | semidirect |
| 135. #484 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152134 | 2 |
| C2×#15667977 | 2 |
| #19151916 | 2 |
| #19151904 | 2 |
| #19151823 | 2 |
| #19151753 | 2 |
| #19151739 | 2 |
| #19151702 | 2 |
| #19151697 | 2 |
| #19151652 | 2 |
| #484×C89 | 2 |
| #3117 | 89 |