Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
414 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#15667971 | C2 | semidirect |
| 2. #19151936 | C2 | semidirect |
| 3. #19151919 | C2 | semidirect |
| 4. #19151641 | C2 | semidirect |
| 5. #19151599 | C2 | semidirect |
| 6. #19151562 | C2 | semidirect |
| 14. #15667945 | C22 | semidirect |
| 15. #15667943 | C22 | semidirect |
| 16. #15667936 | C22 | semidirect |
| 17. #15667933 | C22 | semidirect |
| 95. C89 | #3093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667971 | 2 |
| #19151936 | 2 |
| #19151919 | 2 |
| #19151641 | 2 |
| #19151599 | 2 |
| #19151562 | 2 |
| #525×C89 | 2 |
| #3093 | 89 |