Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19152305 | C2 | semidirect |
| 2. #19151944 | C2 | semidirect |
| 3. #19151914 | C2 | semidirect |
| 4. #19151888 | C2 | semidirect |
| 5. #19151825 | C2 | semidirect |
| 6. #19151795 | C2 | semidirect |
| 7. #19151749 | C2 | semidirect |
| 8. C4×#13083562 | C2 | semidirect |
| 9. D4×#10623494 | C2 | semidirect |
| 10. C2×#15667933 | C2 | semidirect |
| 13. C2×#13083562 | C22 | semidirect |
| 14. C22×#10623494 | C22 | semidirect |
| 15. #15668012 | C22 | semidirect |
| 17. #15667991 | C22 | semidirect |
| 19. C4×Dic178 | C22 | semidirect |
| 21. C2×C4⋊Dic89 | C22 | semidirect |
| 22. #15667943 | C22 | semidirect |
| 23. #15667943 | C22 | semidirect |
| 24. C4⋊#10623494 | C22 | semidirect |
| 25. #15667935 | C22 | semidirect |
| 28. #15667933 | C22 | semidirect |
| 29. #15667933 | C22 | semidirect |
| 30. #15667933 | C22 | semidirect |
| 31. C22⋊#10623494 | C22 | semidirect |
| 32. C4×#10623494 | C22 | semidirect |
| 90. D4×C89 | SD16 | semidirect |
| 137. C89 | #3295 | semidirect |
| 230. D4 | #13083562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| #19151944 | 2 |
| #19151914 | 2 |
| #19151888 | 2 |
| #19151825 | 2 |
| #19151795 | 2 |
| #19151749 | 2 |
| C4×#13083562 | 2 |
| D4×#10623494 | 2 |
| C2×#15667933 | 2 |
| D42×C89 | 2 |
| #3295 | 89 |