Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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. C2×#15667991 | C2 | semidirect |
| 2. #19151939 | C2 | semidirect |
| 3. #19151926 | C2 | semidirect |
| 4. #19151909 | C2 | semidirect |
| 5. #19151837 | C2 | semidirect |
| 6. #19151825 | C2 | semidirect |
| 7. #19151760 | C2 | semidirect |
| 8. #19151753 | C2 | semidirect |
| 9. #19151736 | C2 | semidirect |
| 10. C2×C22⋊#10623494 | C2 | semidirect |
| 13. C2×#13083564 | C22 | semidirect |
| 14. C2×#13083562 | C22 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667943 | C22 | semidirect |
| 25. #15667936 | C22 | semidirect |
| 26. #15667935 | C22 | semidirect |
| 27. #15667935 | C22 | semidirect |
| 28. #15667933 | C22 | semidirect |
| 150. C89 | #3190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| #19151939 | 2 |
| #19151926 | 2 |
| #19151909 | 2 |
| #19151837 | 2 |
| #19151825 | 2 |
| #19151760 | 2 |
| #19151753 | 2 |
| #19151736 | 2 |
| C2×C22⋊#10623494 | 2 |
| #525×C89 | 2 |
| #3190 | 89 |