Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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. C2×#15668038 | C2 | semidirect |
| 2. C2×#15668032 | C2 | semidirect |
| 3. #19152078 | C2 | semidirect |
| 4. #19151817 | C2 | semidirect |
| 5. #19151810 | C2 | semidirect |
| 6. #19151795 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. #19151625 | C2 | semidirect |
| 9. #19151599 | C2 | semidirect |
| 10. C2×#15667933 | C2 | semidirect |
| 11. #535×C89 | C2 | semidirect |
| 15. C2×#13083564 | C22 | semidirect |
| 17. C2×#13083562 | C22 | semidirect |
| 18. C2×#13083561 | C22 | semidirect |
| 20. C2×#13083559 | C22 | semidirect |
| 23. C4×Dic178 | C22 | semidirect |
| 24. C4×D356 | C22 | semidirect |
| 29. C4⋊#10623494 | C22 | semidirect |
| 30. C4⋊#10623494 | C22 | semidirect |
| 31. #15667936 | C22 | semidirect |
| 34. #15667933 | C22 | semidirect |
| 44. #13083574 | D4 | semidirect |
| 155. C89 | #3045 | semidirect |
| 158. #535 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| C2×#15668032 | 2 |
| #19152078 | 2 |
| #19151817 | 2 |
| #19151810 | 2 |
| #19151795 | 2 |
| #19151790 | 2 |
| #19151625 | 2 |
| #19151599 | 2 |
| C2×#15667933 | 2 |
| #535×C89 | 2 |
| #3045 | 89 |