Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
460 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152313 | C2 | semidirect |
| 2. #19151944 | C2 | semidirect |
| 3. #19151919 | C2 | semidirect |
| 4. #19151888 | C2 | semidirect |
| 5. #19151849 | C2 | semidirect |
| 6. #19151790 | C2 | semidirect |
| 7. #19151732 | C2 | semidirect |
| 8. C4×#13083559 | C2 | semidirect |
| 9. #19151676 | C2 | semidirect |
| 10. #19151603 | C2 | semidirect |
| 11. D42×C89 | C2 | semidirect |
| 13. C2×#13083559 | C22 | semidirect |
| 14. C2×#13083558 | C22 | semidirect |
| 15. #15668012 | C22 | semidirect |
| 17. #15667986 | C22 | semidirect |
| 19. C4×D356 | C22 | semidirect |
| 20. #15667971 | C22 | semidirect |
| 22. #15667945 | C22 | semidirect |
| 23. #15667943 | C22 | semidirect |
| 24. C4⋊#10623494 | C22 | semidirect |
| 27. #15667933 | C22 | semidirect |
| 28. #15667933 | C22 | semidirect |
| 29. #15667933 | C22 | semidirect |
| 30. #15667932 | C22 | semidirect |
| 31. C22⋊#10623494 | C22 | semidirect |
| 32. C4×#10623494 | C22 | semidirect |
| 141. C89 | #3325 | semidirect |
| 143. D42 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152313 | 2 |
| #19151944 | 2 |
| #19151919 | 2 |
| #19151888 | 2 |
| #19151849 | 2 |
| #19151790 | 2 |
| #19151732 | 2 |
| C4×#13083559 | 2 |
| #19151676 | 2 |
| #19151603 | 2 |
| D42×C89 | 2 |
| #3325 | 89 |