Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 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×#15667986 | C2 | semidirect |
| 2. #19151931 | C2 | semidirect |
| 3. #19151922 | C2 | semidirect |
| 4. #19151914 | C2 | semidirect |
| 5. #19151832 | C2 | semidirect |
| 6. #19151829 | C2 | semidirect |
| 7. #19151748 | C2 | semidirect |
| 8. #19151743 | C2 | semidirect |
| 9. #19151731 | C2 | semidirect |
| 10. C2×C22⋊#10623494 | C2 | semidirect |
| 11. #525×C89 | C2 | semidirect |
| 14. C2×#13083561 | C22 | semidirect |
| 15. C2×#13083559 | C22 | semidirect |
| 16. C22×#10623494 | C22 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667943 | C22 | semidirect |
| 25. #15667936 | C22 | semidirect |
| 26. #15667933 | C22 | semidirect |
| 27. #15667932 | C22 | semidirect |
| 28. #15667932 | C22 | semidirect |
| 31. C22⋊#10623494 | C22 | semidirect |
| 32. C2×#41×C89 | C22 | semidirect |
| 36. C22⋊Q8×C89 | C22 | semidirect |
| 38. #121×C89 | C22 | semidirect |
| 42. #117×C89 | C22 | semidirect |
| 159. C89 | #3188 | semidirect |
| 160. #525 | D89 | semidirect |
| 171. C2×#41 | C2×D89 | semidirect |
| 180. C22⋊Q8 | C2×D89 | semidirect |
| 186. #121 | C2×D89 | semidirect |
| 190. #117 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667986 | 2 |
| #19151931 | 2 |
| #19151922 | 2 |
| #19151914 | 2 |
| #19151832 | 2 |
| #19151829 | 2 |
| #19151748 | 2 |
| #19151743 | 2 |
| #19151731 | 2 |
| C2×C22⋊#10623494 | 2 |
| #525×C89 | 2 |
| #3188 | 89 |