Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19151936 | C2 | semidirect |
| 3. #19151931 | C2 | semidirect |
| 4. #19151926 | C2 | semidirect |
| 5. #19151638 | C2 | semidirect |
| 6. #19151607 | C2 | semidirect |
| 18. #15667945 | C22 | semidirect |
| 19. #15667943 | C22 | semidirect |
| 20. #15667936 | C22 | semidirect |
| 21. #15667936 | C22 | semidirect |
| 117. C89 | #3095 | 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 |
| #19151931 | 2 |
| #19151926 | 2 |
| #19151638 | 2 |
| #19151607 | 2 |
| #19151562 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #3095 | 89 |