Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 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 |
|---|---|---|
| 1. C2×#15667971 | C2 | semidirect |
| 2. #19151919 | C2 | semidirect |
| 3. #19151914 | C2 | semidirect |
| 4. #19151909 | C2 | semidirect |
| 5. #19151638 | C2 | semidirect |
| 6. #19151603 | C2 | semidirect |
| 7. #19151562 | C2 | semidirect |
| 13. #15667971 | C22 | semidirect |
| 14. C2×C4⋊Dic89 | C22 | semidirect |
| 15. C2×C4⋊Dic89 | C22 | semidirect |
| 18. #15667945 | C22 | semidirect |
| 19. #15667943 | C22 | semidirect |
| 20. #15667933 | C22 | semidirect |
| 21. #15667933 | C22 | semidirect |
| 22. C22⋊#10623494 | C22 | semidirect |
| 23. C22⋊#10623494 | C22 | semidirect |
| 126. C89 | #3094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667971 | 2 |
| #19151919 | 2 |
| #19151914 | 2 |
| #19151909 | 2 |
| #19151638 | 2 |
| #19151603 | 2 |
| #19151562 | 2 |
| C2×#121×C89 | 2 |
| #3094 | 89 |